Sontag, Eduardo - Department of Mathematics, Rutgers University

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Sontag, Eduardo - Department of Mathematics, Rutgers University

Advances in Applied Mathematics 44 (2010) 359377 Contents lists available at ScienceDirect
AN APPROXIMATION THEOREM IN NONLINEAR SAMPLING Eduardo D. Sontag*
Continuous Control-Lyapunov Functions for Asymptotically Controllable Time-Varying Systems
J. Math. Biol. (2008) 57:2952 DOI 10.1007/s00285-007-0145-z Mathematical Biology
Nonlinear Analysis 44 (2001) 10871109 www.elsevier.nl/locate/na
Systems & Control Letters 38 (1999) 209217 www.elsevier.com/locate/sysconle
Input Classes for Identification of Bilinear Systems Eduardo D. Sontag1
Asymptotic Controllability and Input-to-State Stabilization: The Effect of Actuator Errors
Nonlinear Small-Gain Condition Covering iISS Systems: Necessity and Sufficiency from a Lyapunov Perspective
New results on robust stabilization via saturated feedback David Angeli, Yacine Chitour, Lorenzo Marconi
Stabilization of Linear Systems with Input Constraints1 Department of Electrical and Electronic Engineering
Stabilization of a class of time varying systems with control saturations and measurement noise
1046 IEEE TRANSACTIONS ON AUTOMATIC CONTROL, VOL. 48, NO. 6, JUNE 2003 An Example of a GAS System Which Can Be Destabilized
Sniffers, buzzers, toggles and blinkers: dynamics of regulatory and signaling pathways in the cell
Homogeneous Stabilization for Input-affine Homogeneous Systems Nami Nakamura1, Hisakazu Nakamura1, and Yuh Yamashita2
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, VOL. XX, NO. Y, MONTH 1999 1 Asymptotic Controllability
WorstCase Identification of Nonlinear Fading Memory Systems Munther A. Dahleh \Lambda
Stability and stabilization: discontinuities and the e#ect of disturbances
A Learning Result for ContinuousTime Recurrent Neural Networks \Lambda
Model Predictive Control Allocation for Overactuated Systems -Stability and Performance
On Flexible Neural Networks: Some System-Theoretic Properties and a New Class
A Stabilizing Output Based Nonlinear Model Predictive Control Scheme B.J.P. Roset, M. Lazar, W.P.M.H. Heemels and H. Nijmeijer
A Smooth Converse Lyapunov Theorem for Robust Stability Yuandan Lin
ON CONVEXITY IN STABILIZATION OF NONLINEAR SYSTEMS
Input to State Stabilizability for Parameterized Families of Systems
Finite Gain lp Stabilization of Discrete-Time Linear Systems Subject to Actuator Saturation: the Case of p = 1
Position Control of Surface Vessel with unknown Disturbances Yohei Takahashi, Shigeki Nakaura and Mitsuji Sampei
SMOOTH STABILIZATION IMPLIES COPRIME FACTORIZATION Eduardo D. Sontag1
Stabilization of continuous-time nonlinear switched systems Patrizio Colaneri, Jose C. Geromel and Alessandro Astolfi
Comments on "Structure and Stability of Certain Chemical Networks
Positive observation problem for linear discrete positive systems M. Ait Rami
An example with interesting controllability and stabilisation properties Ron M. Hirschorn and Andrew D. Lewis
A Graphical Understanding of Lyapunov-based Nonlinear J. Willard Curtis Randal W. Beard
Exogenous feedback linearization of discrete-time systems E. Aranda-Bricaire and C.H. Moog
Problems for weeks 3 and 4 1. We consider the analysis of one locus with three alleles, A1, A2, and A3; fij is used
On the blowing-up of stably free behaviours Alban Quadrat
On the Relationships Between Induced -Gain and Various Notions of Dissipativity
A Globally Stabilizing Receding Horizon Controller for Neutrally Stable Linear Systems
Abstract--In the past fifty years, adaptive control theory has reached a high level of maturity. However, applications of
On the Input-to-State Stability Property Eduardo D. Sontag
Performance Analysis of Piecewise Linear Systems and Model Predictive Control Systems
FURTHER RESULTS ON CONTROLLABILITY PROPERTIES OF DISCRETETIME NONLINEAR SYSTEMS 3
KALMAN'S CONTROLLABILITY RANK CONDITION: FROM LINEAR TO NONLINEAR \Lambda
Formation Control of Marine Surface Craft using Lagrange Multipliers
An Abstract Approach to Dissipation Extended version of paper in 34th CDC --Keywords: dissipative systems, passivity, nonlinear
Finiteness Results for Sigmoidal "Neural" (Extended Abstract)
A CHOW PROPERTY FOR SAMPLED BILINEAR SYSTEMS Eduardo D. Sontag
FURTHER RESULTS ON CONTROLLABILITY PROPERTIES OF DISCRETE-TIME NONLINEAR SYSTEMS
ESAIM: Control, Optimisation and Calculus of Variations Will be set by the publisher URL: http://www.emath.fr/cocv/
CONTROLLABILITY IS HARDER TO DECIDE THAN ACCESSIBILITY Eduardo D. Sontag*
Spaces of Observables in Nonlinear Control Eduardo Sontag
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, VOL. XX, NO. Y, MONTH 1999 1 Changing Supply Functions
FAULT-TOLERANT CONTROL OF NONLINEAR SYSTEMS SUBJECT TO SENSOR DATA LOSSES
Lyapunov Function Constructions for Slowly Time-Varying Systems Frederic Mazenc and Michael Malisoff
Multistationarity, the basis of cell differentiation and memory. I. Structural conditions of multistationarity and other nontrivial behavior
On Parametric Sensitivity and Structural Robustness of Cellular Functions the Oscillatory Metabolism of Activated Neutrophils
A Uni ed Characterization and Solution of Input-to-State Stabilization via State-Dependent Scaling
An approximate internal model principle: Applications to nonlinear models of
Eduardo D. Sontag "Universal nonsingular controls"
A perturbation approach to the stabilization of cascade systems with time-delay
UNITING CONTROLLERS FOR ROBUST OUTPUT STABILIZATION Denis V. Efimov Elena Panteley Antonio Loria
Abstract--Sufficient conditions for oscillatority in the sense of Yakubovich of a class of time delay nonlinear systems are
Neural Networks with Quadratic VC Dimension Pascal Koiran
On integralinputtostate stabilization Daniel Liberzon \Lambda
Translation-Invariant Monotone Systems, and a Global Convergence Result for Enzymatic Futile Cycles
VC Dimension of Neural Networks Eduardo D. Sontag
On The Computational Power Of Neural Nets Hava T. Siegelmann
Detection, Isolation and Management of Actuator Faults in Parabolic PDEs under Uncertainty and Constraints
Cascade lemma for set-stable systems Johannes Tjnnas, Antoine Chaillet, Elena Panteley and Tor Arne Johansen
A Framework for Global Stabilization of Nonlinear Systems by Continuous State Feedback
Underwater locomotion from oscillatory shape deformations Patricio A. Vela
Curvatures of control systems and feedback focusing
Input-to-State Stability and Exponential Stability for Time-Delay Systems: Further Results
Rendering the Electromechanical Valve Actuator Globally Asymptotically Stable Katherine S. Peterson and Anna G. Stefanopoulou*
Available online at www.sciencedirect.com Systems & Control Letters 51 (2004) 185202
Simultaneous Controller and Protocol Design for Networked Control Systems with Packet Based Communication
Sontag Honored in San Diego with SIAM's Reid Prize http://www.siam.org/siamnews/07-01/sontag.htm Sontag Honored in San Diego with
56 NOTICES OF THE AMS VOLUME 57, NUMBER 1 KalmanReceivesNational
LATEX Command Summary This listing contains short descriptions of the
HIS TORI CAL PERSPECTI VESHISTORICAL PERSPECTIVES Digital Object Identifier 10.1109/MCS.2010.935885
We present a hierarchical principle for object recognition and its application to automatically classify
Author's personal copy J. Differential Equations 246 (2009) 30583076
BioMed Central Page 1 of 13
166 SPECIAL ISSUE ON SYSTEMS BIOLOGY, JANUARY 2008 Oscillations in I/O Monotone Systems Under
MATHEMATICAL BIOSCIENCES http://www.mbejournal.org/ AND ENGINEERING
J Nonlinear Sci (2008) 18: 527550 DOI 10.1007/s00332-008-9021-2
JOURNAL OF COMPUTATIONAL BIOLOGY Volume 14, Number 7, 2007
Discrete Applied Mathematics 155 (2007) 733749 www.elsevier.com/locate/dam
Available online at www.sciencedirect.com Systems & Control Letters 50 (2003) 229239
A UNIFYING INTEGRAL ISS FRAMEWORK FOR STABILITY OF NONLINEAR CASCADES
Untangling the wires: A strategy to trace functional interactions in signaling and gene networks
Lyapunov Characterizations of Input to Output Stability Eduardo Sontag
Stability and stabilization: discontinuities and the effect of disturbances
Systems & Control Letters 38 (1999) 4960 www.elsevier.com/locate/sysconle
Systems & Control Letters 36 (1999) 121129 Further results on controllability of recurrent neural networks 1
On integral-input-to-state stabilization Daniel Liberzon
A Learning Result for Recurrent Neural Networks Eduardo Sontag
Neural Networks with Quadratic VC Dimension Pascal Koiran
GENERAL CLASSES OF CONTROL-LYAPUNOV FUNCTIONS EDUARDO D. SONTAG
DETECTABILITY OF NONLINEAR SYSTEMS Eduardo Sontag
On the Continuity and Incremental-Gain Properties of Certain Saturated Linear Feedback Loops
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, VOL. 40, 1995:413-440 1 Control of Systems Without Drift
From Linear to Nonlinear: Some Complexity Comparisons Eduardo Sontag
Nonsmooth Control-Lyapunov Functions Eduardo Sontag
DISCRETE-TIME TRANSITIVITY AND ACCESSIBILITY: ANALYTIC SYSTEMS1
STABILIZATION WITH SATURATED ACTUATORS, A WORKED EXAMPLE:F-8 LONGITUDINAL FLIGHT CONTROL
UNIVERSAL NONSINGULAR CONTROLS1 Eduardo D. Sontag
Capabilities and Training of Feedforward Nets
A UNIVERSAL FORMULA FOR STABILIZATION WITH BOUNDED CONTROLS
SOME CONNECTIONS BETWEEN CHAOTIC DYNAMICAL SYSTEMS AND CONTROL SYSTEMS
This file contains the original version of the following report: Integrability of certain distributions associated to actions on
On the Existence of Approximately Coprime Factorizations
BILINEAR REALIZABILITY IS EQUIVALENT TO EXISTENCE OF A SINGULAR AFFINE DIFFERENTIAL I/O EQUATION
TIME-OPTIMAL CONTROL OF MANIPULATORS Eduardo D. Sontag* and Hector J. Sussmann*
AN INTRODUCTION TO THE STABILIZATION PROBLEM FOR PARAMETRIZED FAMILIES OF LINEAR SYSTEMS*
IEEE TltANSA(;TIONS ON CIIWUITS AND SYSTEMS, VOL. ~~-26, NO. 4, APRIL1979342 D. E. KnutJr, "Matroid partitioning," Report, Stan-Cf&73-342,
On the Marginal Instability of Linear Switched Systems Yacine Chitour
The separation principle in stochastic control, revisited
Nonlinear control: milestones, roadblocks, Alberto Isidori
Rational Minimax Filtering Arthur J. Krener Wei Kang
Nonlinear stabilization when delay is a function of state
Discontinuous Feedback in Nonlinear Control: Stabilization Under Disturbances and Optimization
Monotone Dynamical Systems: A Quick Tour A R I Z O N A S T A T E U N I V E R S I T Y
OPEN STOCHASTIC SYSTEMS THEIR INTERCONNECTION
May 23, 2011 SontagFest 1 Sampled-data Control and
List of problems, Math Systems Biology, Part 2 It is OK to discuss the problems with other students, but you should write your own solutions. I
LMI's and SDP. Notes by Eduardo Sontag, Rutgers, Nov 2006 denote the subspace of Rnn
Introduction 1.1 What Is Mathematical Control Theory?
Preface to the Second The most significant differences between this edition and the first are as follows
> with(plots): > # let's write what f is, and the two right-hand sides of the ODE
Notes on Hopf Bifurcations, E. Sontag, Sep 03, for Math 613 The Hopf (or "Poincare-Andronov-Hopf") bifurcation occurs when a pair of complex eigenvalues
Rutgers 642:613 -Fall 2003 Instructor: Eduardo D. Sontag
Randomized Approximation Algorithms for Set Multicover Problems with Applications to Reverse Engineering of Protein and
Controllability of Dynamical Extensions with Bounded Control: Application to Robotics
An Erratum on Universal construction of feedback laws achieving
Some Topics in Neural Networks and Control
Worst-Case Identification of Nonlinear Fading Memory Systems Munther A. Dahleh
UNIQUENESS OF WEIGHTS FOR RECURRENT NETS Francesca Albertini
The effect of negative feedback loops on the dynamics of Boolean networks1
MONOTONE SYSTEMS UNDER NEGATIVE FEEDBACK 1 Oscillations in I/O Monotone Systems
Published in IET Systems Biology Received on 2nd December 2008
Vol. 24 no. 2 2008, pages 293295 BIOINFORMATICS APPLICATIONS NOTE doi:10.1093/bioinformatics/btm571
Published in IET Systems Biology Received on 27th July 2007
Nonlinear Analysis 65 (2006) 17731793 www.elsevier.com/locate/na
Journal of Dynamical and Control Systems, Vol. 12, No. 2, April 2006, 161184 ( c 2006) GLOBAL STABILIZATION FOR SYSTEMS
Systems & Control Letters 55 (2006) 177183 www.elsevier.com/locate/sysconle
ARTICLE IN PRESS Systems & Control Letters ( )
Journal of Dynamical and Control Systems, Vol. 10, No. 3, July 2004, 391412 ( c 2004) UNIFORM GLOBAL ASYMPTOTIC STABILITY
LEARNING COMPLEXITY DIMENSIONS FOR A CONTINUOUS-TIME CONTROL SYSTEM
BIOINFORMATICS Vol. 20 no. 12 2004, pages 18771886
1684 IEEE TRANSACTIONS ON AUTOMATIC CONTROL, VOL. 48, NO. 10, OCTOBER 2003 Monotone Control Systems
Balancing at the border of instability SYSTeMS-EESA, Ghent University, Technologiepark 914, 9052 Zwijnaarde, Belgium
DOI: 10.1007/s00332-002-0506-0 J. Nonlinear Sci. Vol. 12: pp. 553583 (2002)
Journal of the Franklin Institute 339 (2002) 211229 A small-gain theorem with applications to input/
A Relaxation Theorem for Differential Inclusions with Applications to Stability Properties
Theoretical Computer Science 262 (2001) 161189 www.elsevier.com/locate/tcs
Proceedings of the 40th IEEE Conferenceon Deeision and Control
Nonlinear Analysis 37 (1999) 813840 A Lyapunov characterization
Series Preface Preface to the Second
Sample Complexity for Learning Recurrent Perceptron Mappings
Critical Points for Least-Squares Problems Involving Certain Analytic Functions,
An Abstract Approach to Dissipation Eduardo Sontag
On Characterizations of Input-to-State Stability with Respect to Compact Sets
Report SYCON-92-07rev STATE OBSERVABILITY IN RECURRENT NEURAL NETWORKS
IEEE Trans. Neural Networks 3 (1992): 981-990. FEEDBACK STABILIZATION USING TWO-HIDDEN-LAYER NETS
FEEDBACK STABILIZATION OF NONLINEAR SYSTEMS Eduardo D. Sontag
POLE SHIFTING FOR FAMILIES OF LINEAR SYSTEMS DEPENDING ON AT MOST THREE PARAMETERS*
FURTHER COMMENTS ON THE STABILIZABILITY OF THE ANGULAR VELOCITY OF A RIGID BODY1
CONTROLLABILITY AND LINEARIZED REGULATION Eduardo D. Sontag*
Review of Multidimensional Systems Theory, N.K.Bose, ed. by Eduardo D. Sontag, Dept.of Mathematics, Rutgers University, New Brunswick, NJ 08903.
NEW RESULTS ON POLE-SHIFTING FOR PARAMETRIZED FAMILIES OF SYSTEMS*
REMARKS ON THE PRESERVATION OF VARIOUS CONTROLLABILITY PROPERTIES UNDER SAMPLING
Stabilization of polynomially parametrized families of linear systems. The single-input case.
ACCESSIBILITY UNDER SAMPLING *Eduardo D. Sontag
Extension of control Lyapunov functions to time-delay systems Mrdjan Jankovic
A Composite Energy Function Based Sub-optimal Learning Control Approach for Nonlinear Systems with
On Input-to-State Stability for Time Varying Nonlinear Systems Heather A. Edwards Yuandan Lin and Yuan Wang
Homogeneous state feedback stabilization of homogeneous Fachbereich Mathematik
Strict Lyapunov Functions for Feedforward Systems and Applications
Maximum Output Amplitude of Linear Systems for certain Input Constraints1
Direct Adaptive Control for Nonlinear Uncertain Systems with Bounded Energy L2 Disturbances
Global Finite-Time Stabilization: from State Feedback to Output Feedback
Noncausal robust set-point regulation of nonminimum-phase scalar systems 1
On Reachability of Positive Linear Discrete-Time Systems with Scalar Controls Ventsi G. Rumchev
On the homogeneity of the affine connection model for mechanical control systems
New State-Dependent Scaling for Uncertain Dynamics: Nonlinear Global Stabilization and Performance
Non-Smooth Stabilizers for Nonlinear Systems with Uncontrollable Unstable Linearization
GLOBAL CLF STABILIZATION FOR SYSTEMS WITH COMPACT CONVEX CONTROL VALUE SETS1
Nonlinear Robust Regulation Using the Satis cing Brett Young
A note on the robustness of input-to-state stability and L. Moreau2
A notion of passivity for hybrid systems Milos Zefran
ON THE EXISTENCE OF A CONTINUOUS STORAGE FUNCTION FOR DISSIPATIVE SYSTEMS
Bounded Robust Control of Constrained Multivariable Nael H. El-Farra and Panagiotis D. Christofides
Identification of Hybrid Systems via Mixed-Integer Programming
LMI approach to spectral stabilizability of linear delay systems and stabilizability of linear systems with complex
Output Feedback Disturbance Attenuation with Robustness to Nonlinear Uncertain Dynamics via
Trading the stability of finite zeros for global stabilization of nonlinear cascade systems
Tracking Trajectories of Feedforward Systems: Application to the Cart-pendulum System
Hybrid Control of Parabolic PDE Systems Nael H. El-Farra and Panagiotis D. Christofides
Robust stabilization of chained systems via hybrid control Christophe Prieur and Alessandro Astolfi
On-Line Parameter Identification of Linear Time-Delay , L. Belkoura 2
Gain preserving Lyapunov functions for perturbed and controlled systems
L2-gain Stabilizability with respect to Filippov Solutions A. Bacciotti and F. Ceragioli
Lower Semicontinuous Lyapunov Functions and Subdifferential Calculus
Viscosity Solutions of the Bellman Equation for Infinite Horizon Optimal Control Problems with
Coprime Factorisation and Robustness of Stabilization for Nonlinear Systems
Generalized Adaptive Output-Feedback Form with Unknown Parameters Multiplying High Output Relative-Degree States
Suboptimal receding horizon control for continuoustime systems 1 Franco Blanchini2 Stefano Miani3 Felice Andrea Pellegrino4
A CONDITION of CLF EXISTENCE for AFFINE SYSTEMS* Efimov D.V.
A STOCHASTIC VERSION OF ARTSTEIN'S Patrick Florchinger
Stabilization with positive and quantized control Georgia Kaliora and Alessandro Astolfi
Stabilization of sampleddata nonlinear systems via their approximate models: an optimization based approach
A Constructive Proof of ISS Small-Gain Theorem Using Generalized Scaling
Lyapunov based small-gain theorem for parameterized discrete-time interconnected ISS systems
Quantized Control with Applications to Mobile Vehicles1 Jialing Liu and Nicola Elia 2
Satisficing Control for Multi-agent Formation Maneuvers Wei Ren Randal W. Beard J. Willard Curtis
Further results on switched control of linear systems with constraints1
Robustness of discontinuous feedback in control under disturbance
A generalization of Zubov's method to perturbed systems Fabio Camilli, Dipartimento di Matematica Pura e Applicata, Universit`a dell'Aquila
A Global High-Gain Based Scaling Method for the Generalized Output-Feedback Canonical Form
Attitude Tracking for Flexible Spacecraft from Quaternion Measurements
Extension of the Perron-Frobenius Theorem: 1to homogeneous
Nonlinear observability and an invariance principle for switched systems Jo~ao P. Hespanha
Global complete observability and output-to-state stability imply the existence of a globally convergent observer
Analysis of Linear Systems in the Presence of Actuator Saturation and L2-Disturbances Haijun Fang Zongli Lin Tingshu Hu
Moving Horizon Monte Carlo State Estimation for Linear Systems with Output Quantization
Analysis of Input to State Stability for Discrete Time Nonlinear Systems via Dynamic Programming*
Scaling Supply Rates of ISS Systems for Stability of Feedback Interconnected Nonlinear Systems
Adaptive Stabilization of Nonlinearly Parameterized Systems by C0
Inverse Optimal Design for Trajectory Tracking with Input Saturations via Adaptive Recurrent
An Adaptive Approach to Control of Distributed Parameter Systems Belinda King Naira Hovakimyan
On Observability and Detectability of Continuous-time Linear Switching Systems 1
Results on Discrete-Time Control-Lyapunov Functions Christopher M. Kelletta 1
Uniform practical asymptotic stability of time-varying parameterized discrete-time Dragan Nesic2
Nonlinear Stabilization of a Spherical Particle Trapped in an Optical Tweezer Aruna Ranaweera
Formation Flying Control of a Pair of Nano-Satellites Based on Switching Predictive Control F. Bacconi and E. Mosca
Results on Converse Lyapunov Theorems for Difference Christopher M. Kelletta 1
Lp Stability and Delay Robustness of Network Flow Control 1
A Note on Stabilization via Communication Channel in the presence of Input Constraints Claudio De Persis
Measurement feedback controllers with constraints and their relation to the solution of Hamilton Jacobi inequalities
A Unifying Framework for Global Regulation via Nonlinear Output Feedback* Z. R Jiang 1 I. Marcels 2 D.J. Hill a J. Huang 4
Controllability for a class of discrete-time Hamiltonian systems Umesh Vaidya1
CLF-based Nonlinear Control with Polytopic Input Constraints
Controller Design for a Nonlinear System with Inputs Restricted to a Direct Product of Minkowski Balls
On stabilization of linear systems with stochastic disturbances and input saturation
Observability of Hybrid Systems and Turing Machines Pieter Collins and Jan H. van Schuppen
A Quotient Subspace Algorithm for Testing Controllability and Computing Brunovsky's Outputs
On systems with counter-clock-wise Input/Output David Angeli
Results on stabilization of nonlinear systems under finite data-rate constraints
Stability of continuous-time distributed consensus algorithms Ghent, Belgium
Subspace Identification of Piecewise Linear Systems Vincent Verdult and Michel Verhaegen
A Lie-algebraic condition for stability of switched nonlinear systems
New insights on the analysis of nonlinear time-delay systems L.A. Marquez-Martinez and C.H. Moog
Non-vanishing Basin of Attraction with respect to a Parametric Variation and Center Manifold
Remarks on ISS and Formation Control Xingping Chen and Andrea Serrani
Stability Analysis of Hybrid Systems with a Linear Performance Index Frank J. Christophersen, Mato Baotic, and Manfred Morari
A set valued characterization of ISDS Lyapunov functions Lars Grune and Patrick SaintPierre
Abstract--This work studies the construction of observers for nonlinear time-varying discrete-time systems in a general
Abstract--The notions of dynamical synchronization and adaptive dynamical synchronization problems are introduced.
Abstract--Resolvers are absolute angle transducers that are usually used for position and speed measurement in
Establishing iISS Property of Interconnected Systems via Parametrization of Supply Rates
Stability of Nonlinear Switched Systems on the Plane Ugo Boscain,
Stabilization of Single-Input Nonlinear Systems Using Higher Order Compensating Sliding Mode Control
Semi-global minimal time hybrid robust stabilization of analytic driftless control-affine systems
The Realization Problem for Hidden Markov Models: The Complete Realization Problem
A tight small gain theorem for not necessarily ISS systems David Angeli and Alessandro Astolfi
Classification of linear planar systems with hybrid feedback control Elena Litsyn, Marina Myasnikova, Yurii Nepomnyashchikh, and Arcady Ponosov
Control to facet problems for affine systems on simplices and polytopes With applications to control of hybrid systems
ISS of Switched Systems and Applications to Switching Adaptive Control L. Vu and D. Chatterjee and D. Liberzon
Control-Lyapunov Functions for Systems Satisfying the Conditions of the Jurdjevic-Quinn Theorem
Monotonicity and convergence in chemical reaction networks Patrick De Leenheer
A Global Observer for Observable Autonomous Systems with Bounded Solution Trajectories
Computation of Observability Regions for Piecewise Affine Systems: A Projection-Based Algorithm
Disturbance Attenuation for Linear Systems Subject to Actuator Saturation using Output Feedback
Transverse Feedback Linearization of Multi-Input Systems Christopher Nielsen and Manfredi Maggiore
Dissipativity Theory for Switched Systems Jun Zhao and David J. Hill
Performance analysis of saturated systems via two forms of differential inclusions
Robust stabilisation of nonlinear systems using output measurements via finite data-rate communication channels
Realization Theory For Bilinear Switched Systems: Formal Power Series Mihaly Petreczky
Passivity analysis of discrete-time hybrid systems using piecewise polynomial storage functions
A globally convergent steering algorithm for regular nonholonomic systems
Duhem Models for Hysteresis in Sliding and Presliding Friction* JinHyoung Oh, Ashwani K. Padthe, Dennis S. Bernstein, Demosthenis D. Rizos, and Spilios D. Fassois
System Analysis of a Programmed Cell Death Model Eric Bullinger
Disturbance Tolerance and Rejection of Linear Systems with Imprecise Knowledge of Actuator Input Output Characteristics
On hybrid controllers that induce input-to-state stability with respect to measurement noise
Nonlinear control for systems with bounded inputs: Real-time embedded control applied to UAVs
On Stability Properties of A Simple Extremum Seeking Scheme Ying Tan, Dragan Nesic and Iven Mareels
THE PROBLEM OF THE ABSOLUTE CONTINUITY FOR LIAPUNOV-KRASOVSKII FUNCTIONALS
A NEW LYAPUNOV-KRASOVSKII METHODOLOGY FOR COUPLED DELAY DIFFERENTIAL DIFFERENCE EQUATIONS @
Lebesgue Piecewise Affine Approximation of Nonlinear Systems and Its Application to Hybrid System Modeling of Biosystems
Stabilizability of switched linear systems does not imply the existence of convex Lyapunov functions
Hierarchical Control using Approximate Simulation Relations Antoine Girard and George J. Pappas
Output-feedback control for stabilization on SE(3) Rita Cunha, Carlos Silvestre, and Jo~ao Hespanha
Modelling and Control of a Convertible VTOL Aircraft J. Escareo, S. Salazar and R. Lozano.
Coordinated path-following control of multiple underactuated autonomous vehicles in the presence of communication failures
An Equivalence Result between Linear Hybrid Automata and Piecewise Affine Systems
Observability of Internal Variables in Interconnected Switching Systems Elena De Santis, Maria D. Di Benedetto and Giordano Pola
A Condition for Output-to-State Stability of Switched Nonlinear Ming-shun Wang, Georgi M.Dimirovski and Jun Zhao
Smooth patchy control Lyapunov functions Rafal Goebel, Christophe Prieur, and Andrew R. Teel
Weak Input-to-State Stability Properties for Navigation Function Based Controllers
Application of the Dual High-Gain Scaling Technique to Decentralized Control and Disturbance Attenuation
A Separation Property of Dissipative Observers for Nonlinear Systems Jaime A. Moreno
Results Towards Identifiability Properties of Biochemical Reaction Networks Marcello Farina, Rolf Findeisen, Eric Bullinger,
The Integral Input-to-State Stability of Passive Nonlinear Systems Chen Wang and George Weiss
Abstract--The stabilization problem for nonlinear dynamical systems under zero-state-detectability assumption or its
Computing stability and performance bounds for unconstrained NMPC Lars Grune
Towards uniform linear time-invariant stabilization of systems with persistency of excitation
Nonlinear scheduled control for linear systems subject to saturation with application to anti-windup control
Model-Based Control of Nonlinear Systems Subject to Sensor Data Losses: A Chemical Process Case Study
Dissipativity Based Stability of Switched Systems with State-dependent Jun Zhao and David J.Hill
Stability, Stabilization and Observers of Linear Control Systems on Time Scales
Abstract--This paper presents the design and implementation of robust control schemes for two applications of a
Discrete-time control design for setpoint tracking of a combustion engine test bench
Sensorless PBC of induction motors: A separation principle from ISS Jaime A. Moreno and Gerardo EspinosaPerez
Abstract--Nonlinear Model predictive control (NMPC) suffers from the problems of closed loop instability and
On the convergence of linear passive complementarity systems M. Kanat Camlibel Nathan van de Wouw
On interconnections of discontinuous dynamical systems: an input-to-state stability approach
Nonlinear Stabilization via Control-Lyapunov Measure Umesh Vaidya Prashant G. Mehta Uday V. Shanbhag
Towards the practical implementation of Min-Max Nonlinear Model Predictive Control
Introduction to First-Order Differential Equations A differential equation is just an equation which involves "differentials", that is to say, deriva-
Phase-planes. A technique which is often very useful in order to analyze the phase plane behavior of a
Notes on Matrix Exponentials Generalities.
> # problem 1 > # we will use exp(it) instead of cosine, and at the end take real parts
The increasing availability of high-throughput and multi-plex techniques for quantifying signalling and cellular
2006 Nature Publishing Group Department of Pathology,
Introduction Genes and gene products interact on several levels. At the
Generation of oscillations by the p53-Mdm2 feedback loop: A theoretical and experimental study
Dynamic behavior in mathematical models of the tryptophan operon Moises Santillana)
Frequency domain analysis of noise in autoregulated gene circuits
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS--I: FUNDAMENTAL THEORY AND APPLICATIONS, VOL. 49, NO. 10, OCTOBER 2002 1429 A Model of Periodic Oscillation for Genetic
Available online at http://www.idealibrary.com on doi:10.1006/bulm.2000.0205
Formulation of a model of the segment polarity network as a system of first-order ordinary differential equations
Problems on Population Genetics. This document lists problems roughly by subject matter, both problems inserted
Math 338, Problem and Reading Assignments, Spring 2008 Note the exercises starting after 4.24 in the text are misnumbered. The second
Math 338, Problem Solution, Week 14; Spring 2008 Consider a hidden Markov model whose hidden chain evolves in the state space
Math 45 --Linear Algebra David Arnold
> restart:with(linalg):with(combinat, numbcomb): Warning, the protected names norm and trace have been redefined
Math 252 --Fall 2002 Answers to Modeling Exercises
Chemical Reaction Networks Formalism (notes for Rutgers 640:336, E.D. Sontag, Sep 2006)
Homework problems, diffusion Suppose that c(x, t) denotes the density of a bacterial population undergoing random motions (diffusion).
Homework problems, diffusion Suppose that c(x, t) denotes the density of a bacterial population undergoing random motions (diffusion).
Homework problems on modeling with PDE's (Some parts of these problems were already done in the problem set dealing with transport equations.)
A1. Transport velocity is 5 m/s. Doubling time is 1 hr = 3600 sec, so 2 = e3600 means = ln 2
Introduction to First-Order Differential Equations January 16, 2001
Biochemical network models simplified by balanced Wolfram Liebermeister1
Electronic Journal of Differential Equations, Vol. 1998(1998), No. 32, pp. 112. ISSN: 1072-6691. URL: http://ejde.math.swt.edu or http://ejde.math.unt.edu
Optimal Control of an HIV Immunology Model Hem Raj Joshi
OPTIMAL CONTROL APPLIED TO CELL-CYCLE-SPECIFIC CANCER CHEMOTHERAPY
A PolynomialTime Algorithm for Checking Equivalence Under Certain Semiring Congruences motivated by the Statespace
Asymptotic stability equals exponential stability, and ISS equals finite energy gain---if you twist your eyes
Comments on Integral Variants of ISS Eduardo D. Sontag
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, VOL. XX, NO. Y, MONTH 1999 1 New Characterizations of Input to State Stability
Input to State Stabilizability for Parameterized Families of Systems
On the Continuity and IncrementalGain Properties of Certain Saturated Linear Feedback Loops 3
On The Computational Power Of Neural Nets 3 Hava T. Siegelmann
A result on the robust stabilization of MIMO plants with saturating actuators M. L. Corradini , G. Orlando
A Notion of Input to Output Stability Eduardo Sontag
Further Equivalences and Semiglobal Versions of Integral Input to State Stability
ANALOG COMPUTATION VIA NEURAL NETWORKS Hava T. Siegelmann
Algorithmica DOI 10.1007/s00453-007-9055-0
Measurement to Error Stability: a Notion of Partial Detectability for Nonlinear Systems
On a topological condition for strongly asymptotically stable differential Yuh Yamashita, Takayuki Tsuzuki and Hisakazu Nakamura
Notes on Systems of Linear Difference Equations Math 338, Eduardo D. Sontag
Control Vector Lyapunov Functions for Large-Scale Impulsive Dynamical Systems
FEBRUARY 1996 NOTICES OF THE AMS 191 UsingMathematicsto
Some new directions in control theory inspired by systems biology
Input-to-state Stability on Formation Graphs Herbert G. Tanner1
Backstepping with bounded feedbacks for time-varying systems Frederic Mazenc and Samuel Bowong
Practical Stabilization of Single-Input Nonlinear Systems with Piecewise Constant Controllers
L2 performance design problem for systems presenting nested saturations
Uniformly Universal Inputs Eduardo D. Sontag1
On Performance Improvement of an Output Feedback Control for Non-uniformly Observable Nonlinear Systems
Determination of Functional Network Structure from Local Parameter Dependence Data
The p53 pathway responds to various cellular stress signals (the input) by activating p53 as a transcription
Math 252 --Fall 2002 Introduction to First-Order Differential Equations
ORBIT THEOREMS AND SAMPLING* Eduardo D. Sontag**
On Characterizations of the InputtoState Stability Property Eduardo D. Sontag 3
Shattering all sets of k points in ``general position'' requires (k \Gamma 1)=2 parameters
A REMARK ON BILINEAR SYSTEMS AND MODULI SPACES OF INSTANTONS
Notions of Input to Output Stability Eduardo Sontag \Lambda
Critical Points for LeastSquares Problems Involving Certain Analytic Functions,
Appeared in IEEE Trans. Automatic Control 34(1989): 435443 SMOOTH STABILIZATION IMPLIES COPRIME FACTORIZATION
A A Converse Lyapunov Theorem We briefly review some needed definitions and a converse Lyapunov theorems for systems with distur
Report SYCON8903 A ``UNIVERSAL'' CONSTRUCTION OF ARTSTEIN'S THEOREM ON
Journal of Dynamical and Control Systems, Vol. 9, No. 1, January 2003, 103129 ( c 2003) SINGULAR TRAJECTORIES IN MULTI-INPUT
Model predictive control without terminal constraints: stability and performance
Abstract--The paper contains certain results concerning the finite-time global stabilization for triangular control
Nonsmooth functions and uniform limits of smooth control Lyapunov functions
Backpropagation Can Give Rise to Spurious Local Minima Even for Networks without Hidden
A LYAPUNOV-KRASOVSKII METHODOLOGY FOR iISS OF TIME-DELAY SYSTEMS @
1028 IEEE TRANSACTIONS ON AUTOMATIC CONTROL, VOL. 46, NO. 7, JULY 2001 Structure and Stability of Certain Chemical Networks
LINEAR SYSTEMS WITH SIGN-OBSERVATIONS RENEE KOPLON AND EDUARDO D. SONTAG
Information Patterns and Hedging Brockett's Theorem in Controlling Vehicle Formations
A Real-time Framework for Model Predictive Control of Continuous-Time Nonlinear Systems
(A, B)-invariant subspace, 207 A-invariant mod B, 207
Detection of multistability, bifurcations, and hysteresis in a large class of biological
Remarks on universal nonsingular controls for discrete-time systems
A unified approach to controller design for systems with quantization and time scheduling
Lecture Notes on Mathematical Systems Biology [Continuously revised and updated. This is version 5.0.5. Compiled December 3, 2010]
On the Identi cation of Recurrent Neural Nets Dietmar Trummer, Manfred Deistler 1
On Robustness of Stability and Lyapunov Functions for Discontinuous Difference Equations
Underwater vehicles: a surprising non time-optimal path This paper deals with the time-optimal problem for
Real-Time Control of an Autonomous Control System Based on Feasibility Analysis
A Model Reduction Algorithm for Hidden Markov Models Georgios Kotsalis, Alexandre Megretski, Munther A. Dahleh
Global Robust State-Feedback for Nonlinear Systems via Dynamic High-Gain Scaling
Remarks on Equivalence between Full Order and Reduced Order Nonlinear Observers Hyungbo Shim
Observability for Hybrid Systems Andrea Balluchi
Global Stabilization of Linear Discrete-Time Systems with Bounded Feedback
Necessary and Sufficient Conditions for Reachability on a Simplex Bartek Roszak and Mireille E. Broucke
On the Equivalence of Classes of Hybrid Dynamical Models W.P.M.H. Heemels1
Realization Theory of Stochastic Jump-Markov Linear Systems Mihaly Petreczky Rene Vidal
Discontinuous Feedback Stabilization Using Nonlinear Model Predictive Controllers
Control of Coupled Slow and Fast Dynamics Zvi Artstein
A Multichannel IOS Small Gain Theorem for Systems with Multiple Time-Varying Communication Delays
Output Tracking of Underactuated Rotary Inverted Pendulum by Nonlinear Controller
Stabilization of LPV systems: state feedback, state estimation and duality Franco Blanchini
Control-Lyapunov Functions for Time-Varying Set Stabilization Francesca ALBERTINI
A Time-Invariant Dual High-Gain Based Adaptive Output-Feedback Controller for Nonlinear Systems
INPUTTOSTATE STABILITY FOR DISCRETETIME NONLINEAR SYSTEMS
An example is furnished by f(x) = cos(x), and ff = . This shows that arbitrary (not expra definable)
Some Topics in Neural Networks and Control
BACKPROPAGATION SEPARATES WHERE PERCEPTRONS DO 1 Eduardo D. Sontag
VC Dimension of Neural Networks Eduardo D. Sontag
Nonlinear Analysis: Real World Applications 9 (2008) 128140 www.elsevier.com/locate/na
Observability of Linear Systems with Saturated Outputs Renee Koplon
Deterministic Characterization of a Class of Randomly Switched Systems and Realization by Pole Sequences 1
Input/Output and State-Space Stability Eduardo D. Sontag
Model Predictive Control in Power Electronics: A Hybrid Systems Approach
An almost global notion of input-to-state stability David Angeli
Worst-Case Identification of Nonlinear Fading Memory Systems Munther A. Dahleh
Report SYCON8802 SOME REMARKS ON THE BACKPROPOGATION ALGORITHM
TIMEOPTIMAL CONTROL FOR UNDERWATER VEHICLES
Abstract--The problem of adaptive stabilization with respect to a set for a class of nonlinear parameterized systems in the
J Nonlinear Sci DOI 10.1007/s00332-008-9021-2
REMARKS ON INPUT/OUTPUT LINEARIZATION* Eduardo D. Sontag
A Dynamical System That Computes Eigenvalues and Diagonalizes Matrices with a Real Spectrum
arXiv:0705.3188v1[q-bio.QM]22May2007 A Passivity-Based Stability Criterion for a Class of Interconnected
AN ALGEBRAIC APPROACH TO BOUNDED CONTROLLABILITY OF LINEAR SYSTEMS
Structure and Stability of Certain Chemical Networks and Applications to the Kinetic Proofreading Model of T-Cell
CONTROLLYAPUNOV FUNCTIONS FOR TIMEVARYING SET STABILIZATION \Lambda
Reprinted from: Artificial Neural Networks for Speech and Vision (Proc. Workshop held at Rutgers, 1992, Edited by Richard J. Mammone)
Separating BiChromatic Points by Parallel Lines Tetsuo Asano John Hershberger J'anos Pach Eduardo Sontag
Luminescence Control in the Marine Bacterium Vibrio fischeri: An Analysis of the Dynamics of
Modeling and control of gene regulatory Madalena Chaves
Systems & Control Letters 38 (1999) 127134 www.elsevier.com/locate/sysconle
How I decided to ask Eduardo to be my thesis adviser
On Global Output Feedback Stabilization of Uncertain Nonlinear Systems Laurent Praly*
An Adaptive Output Feedback Control Methodology for Non-Minimum Phase Systems
Lyapounov Stability for Impulsive Dynamical Systems Geraldo N. Silva1
Stabilization and finite-gain stabilizability of continuous-time delay linear systems subject to input saturation
A Note on Robustness of Linear Spatially Distributed Parameter Systems and Their Numerical Approximations
Nonlinear Analysis 63 (2005) 472490 www.elsevier.com/locate/na
List of problems, Math Systems Biology, Part 1 It is OK to discuss the problems with other students, but you should write your own solutions. I
Model predictive sampleddata redesign for nonlinear systems Lars Grune, Dragan Nesic and Jurgen Pannek
A note on Monotone Systems with Positive Translation Invariance David Angeli
Report SYCON-88-15 FURTHER FACTS ABOUT INPUT TO STATE STABILIZATION
Neural Systems as Nonlinear Filters Wolfgang Maass
On the Necessity of the Small-Gain Theorem in the Performance Analysis of Nonlinear Systems
Stabilization and Robustness Analysis for a Chemostat Model with Two Species and Monod Growth Rates via a Lyapunov Approach
Remarks on universal nonsingular controls for discretetime Eduardo D. Sontag
Interconnected Automata and Linear Systems: A Theoretical Framework in DiscreteTime
Meagre Functions and Asymptotic Behaviour of Dynamical Systems
Using FourierNeural Recurrent Networks to Fit Sequential Input/Output Data
The ISS Philosophy as a Unifying Framework for StabilityLike Behavior
IEEE Trans. Neural Networks 3 (1992): 981990. FEEDBACK STABILIZATION USING TWOHIDDENLAYER NETS
Standard LATEX symbols (package latexsym) AMS symbols (package amssymb)
Robust Hybrid Control for Autonomous Vehicle Motion Planning
Adaptive switching supervisory control of nonlinear systems with no prior knowledge of noise bounds
Finite state abstraction of a stochastic model of the lactose regulation system of Escherichia coli
Stability of Quantized and Delayed Bilateral Teleoperators Peter F. Hokayem and Mark W. Spong
Filtered Lyapunov functions and their applications in the stability analysis of nonlinear systems
Vapnik-Chervonenkis Dimension of Recurrent Neural Networks
Lyapunov Characterizations of Input to Output Stability Eduardo Sontag \Lambda
DISCRETETIME TRANSITIVITY AND ACCESSIBILITY: ANALYTIC SYSTEMS 1
STABILIZATION WITH SATURATED ACTUATORS, A WORKED EXAMPLE:F-8 LONGITUDINAL FLIGHT CONTROL
CONTROLLABILITY AND LINEARIZED REGULATION Eduardo D. Sontag *
Report SYCON9207rev STATE OBSERVABILITY IN RECURRENT NEURAL NETWORKS
InputOutputtoState Stability Mikhail Krichman # and Eduardo D. Sontag +
CONTROLLABILITY OF NONLINEAR DISCRETE TIME SYSTEMS: A LIEALGEBRAIC APPROACH 1 Bronislaw Jakubczyk 2
ALGEBRAIC DIFFERENTIAL EQUATIONS AND RATIONAL CONTROL Mathematics Department, Florida Atlantic University, Boca Raton, Fl 33431
Further Equivalences and Semiglobal Versions of Integral Input to State Stability
A General Formulation and Solvability of the Global Robust Output Regulation Problem Zhiyong Chen and Jie Huang
OBSERVER DESIGN FOR NONLINEAR SYSTEMS BY USING INPUT-TO-STATE STABILITY
Available online at www.sciencedirect.com Systems & Control Letters 50 (2003) 119126
List of Symbols Symbol Description Page
ACCESSIBILITY UNDER SAMPLING Eduardo D. Sontag
An Abstract Approach to Dissipation 95CDC ---Keywords: dissipative systems, passivity, nonlinear stability, gap
WorstCase Identification of Nonlinear Fading Memory Systems Munther A. Dahleh \Lambda
Input-to-State Stabilization of Linear Systems with Positive Outputs
An Abstract Approach to Dissipation Eduardo Sontag
DETECTABILITY OF NONLINEAR SYSTEMS Eduardo Sontag \Lambda
Input-to-state stabilization with minimum number of quantization regions Yoav Sharon and Daniel Liberzon
Modeling and Analysis Stochastic Hybrid System
Model reduction of large-scale systems Thanos Antoulas
Pathwise Observability and Controllability are Decidable Mohamed Babaali and Magnus Egerstedt
Forward Algorithms for Optimal Control of a Class of Hybrid Systems
Remarks on the state convergence of nonlinear systems given any Lp Bayu Jayawardhana
Controllability of Hamiltonian Systems with Drift: Action-Angle Variables and Ergodic Partition Igor Mezic
Efficient Computation of Controller Partitions in Multi-Parametric Programming
Towards a Unified View Communication and Control
Anti-windup for linear systems with sensor saturation: sufficient conditions for global stability and L2 gain
An Efficient Technique for Translating Mixed Logical Dynamical Systems into Piecewise Affine Systems
On the Complexity of Training Neural Networks with Continuous Activation Functions
Universal formulas for feedback stabilization with respect to Minkowski balls \Lambda
NEURAL NETWORKS FOR CONTROL 3 Eduardo D. Sontag
Remarks regarding the gap between continuous, Lipschitz, and differentiable storage functions for
FOR NEURAL NETWORKS, FUNCTION DETERMINES FORM Francesca Albertini(*)
LINEAR SYSTEMS WITH SIGNOBSERVATIONS \Lambda EE SCHWARZSCHILD AND EDUARDO D. SONTAG y
Math 338, Problem Assignments, Spring 2008 1. Exercise 5.1. (Page 14.)
LIE BRACKETS AND STABILITY OF SWITCHED SYSTEMS
Condition for Bifurcation of the Region of Attraction in Linear Planar Systems with Saturated Linear Feedback
ON FINITE GAIN STABILIZABILITY OF LINEAR SYSTEMS SUBJECT TO INPUT SATURATION
A Model-Predictive Satis cing Approach to A Nonlinear Tracking Problem
CONTROLLABILITY OF NONLINEAR DISCRETE TIME SYSTEMS: A LIE-ALGEBRAIC APPROACH1
The goals of systems biology are orthogonal to large-scale efforts to catalogue genomes, proteomes and
Abstract--Lyapunov-like characterizations for non-uniform in time and uniform robust global asymptotic stability of
Results on relaxation theorems for hybrid systems Chaohong Cai, Andrew R. Teel, Rafal Goebel
Piecewise affine systems identification: a learning theoretical approach
Global Tracking of Uncertain Nonlinear Cascaded Systems with Adaptive Internal Model1
AN EIGENVALUE CONDITION FOR SAMPLED WEAK CONTROLLABILITY OF BILINEAR SYSTEMS
Searching for control Lyapunov-Morse functions using genetic programming for global asymptotic stabilization of nonlinear systems
Global Entrainment of Transcriptional Systems to Periodic Inputs
I/O monotone dynamical systems Germn A. Enciso
Systems & Control Letters 55 (2006) 707710 www.elsevier.com/locate/sysconle
ELSEVIER Systems & Control Letters 29 (1997) 279-290 ru CONTROL,
Stability Analysis and Stabilization of Randomly Switched Systems
VapnikChervonenkis Dimension of Recurrent Neural Networks
CONTINUOUS STABILIZERS AND HIGHGAIN FEEDBACK Eduardo D. Sontag *
Remarks on Control Lyapunov Functions for Discontinuous Stabilizing Feedback
BACKPROPAGATION CAN GIVE RISE TO SPURIOUS LOCAL MINIMA EVEN FOR NETWORKS WITHOUT HIDDEN LAYERS
On Finite Gain Stabilizability of Linear Systems Subject to Input Saturation 3
Nonlinear output feedback design for linear systems with saturating controls
REMARKS ON THE TIMEOPTIMAL CONTROL OF A CLASS OF HAMILTONIAN SYSTEMS \Lambda
On the InputtoState Stability Property Eduardo D. Sontag \Lambda
DOI: 10.1007/s10910-006-9075-z Journal of Mathematical Chemistry ( 2006)
OPTIMAL CONTROL APPLIED TO COMPETING CHEMOTHERAPEUTIC CELL-KILL STRATEGIES
Interconnected Automata and Linear Systems: A Theoretical Framework in Discrete-Time
DISCRETE AND CONTINUOUS Website: http://aimSciences.org DYNAMICAL SYSTEMS
Systems & Control Letters 40 (2000) 247260 www.elsevier.com/locate/sysconle
Nonlinear Switched Systems with State Dependent Dwell-Time1
Data Classification and Parameter Estimation for the Identification of Piecewise Affine Models
Optimization, Estimation, and Control for Kinetic Monte Carlo Simulations
Results on input-to-state stability for hybrid systems Chaohong Cai, Andrew R. Teel
SLQR/SLQG: An LQR/LQG Theory for Systems with Saturating Actuators
Passivity-based stability of interconnection Eduardo D. Sontag1
Discrete-time versus hybrid systems DIS, Univ. "La Sapienza"
AN EXPLICIT CONSTRUCTION OF THE EQUILINEARIZATION CONTROLLER
Global robust servomechanism theory for nonlinear systems in lower-triangular form
A Converse Lyapunov Theorem for Switched Linear Systems with Dwell Times
A New Local Control Strategy for Control of Discrete-Time Piecewise Affine Systems
Stability of switched seesaw systems with application to the stabilization of underactuated vehicles
Input-to-State Stability for Nonlinear Model Predictive Control L. Magni, D. M. Raimondo and R. Scattolini
Further Results on Input/Output Stability of Switched Systems J.L. Mancilla-Aguilar and R.A. Garcia
Switching Adaptive Output Feedback MPC for Input-constrained Neutrally Stable Linear Plants
Parameter estimation in models combining signal transduction and metabolic pathways: The
Nash Strategies for Dynamic Noncooperative Linear Quadratic Sequential Games
Tracking Control using Attitude Measurements for Flexible Spacecraft in Presence of
Constr. Approx. CONSTRUCTIVE
Analog Neural Nets with Gaussian or other Common Noise Distributions cannot Recognize Arbitrary
Backstepping on the Euler approximate model for stabilization of sampled-data nonlinear systems
The Authors Journal compilation 2008 Biochemical Society Network reconstruction
Orders of Input/Output Differential Equations and State Space Dimensions
I/O Equations for Nonlinear Systems and Observation Spaces Eduardo D. Sontag
Input-to-state stabilization of linear systems with quantized feedback Daniel Liberzon and Dragan Nesic
Stability and Controllability of Planar, Conewise Linear Systems Ari Arapostathis and Mireille E. Broucke
Robust Adaptive Control for Nonlinear Uncertain Systems Wassim M. Haddady, VijaySekhar Chellaboinaz, and Tomohisa Hayakaway
Journal of Theoretical Biology 224 (2003) 8796 Systemic metabolic reactions are obtained by singular value
Spaces of Observables in Nonlinear Control Eduardo Sontag
Output-to-State Stability and Detectability of Nonlinear Systems
Controller Synthesis for a class of Uncertain Piecewise Linear Hybrid Dynamical Systems 1
Modeling Complex Cellular Networks -robust switching in the cell cycle ensures a piecewise linear
Algorithmic and Complexity Results for Decompositions of Biological Networks into Monotone Subsystems
Underwater vehicles: The minimum time problem Department of Mathematics
A Petri Net Approach to Persistence Analysis in Chemical Reaction Networks
Orders of Input/Output Differential Equations and State Space Dimensions
A Comparison of the Computational Power of Sigmoid and Boolean Threshold Circuits
SOME CONNECTIONS BETWEEN CHAOTIC DYNAMICAL SYSTEMS AND CONTROL SYSTEMS
A REMARK ON ROBUST STABILIZATION OF GENERAL ASYMPTOTICALLY CONTROLLABLE SYSTEMS
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, VOL. XX, NO. Y, MONTH 1999 1 Control of Systems Without Drift
A UNIVERSAL FORMULA FOR STABILIZATION WITH BOUNDED CONTROLS \Lambda
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
Constr. Approx. CONSTRUCTIVE
Model predictive control for perturbed continuous piecewise affine systems with bounded disturbances
On the Stability and Control of Nonlinear Systems via Vector Lyapunov Functions
Cell, Vol. 113, 597607, May 30, 2003, Copyright 2003 by Cell Press Development of Genetic Circuitry Exhibiting
This file contains the original version of the following report: Integrability of certain distributions associated to actions on
Sample Complexity for Learning Recurrent Perceptron Mappings \Lambda
Formulas relating KL stability estimates of discretetime and sampleddata nonlinear systems
Control Lyapunov functions and partial differential Jean-Michel Coron
Measurement Feedback Controller Design to Achieve Input to State Stability
Achievable Bisimilar Behaviour of Abstract State Systems Giordano Pola, Arjan J. van der Schaft and Maria D. Di Benedetto
A Matrosov theorem with an application to Model Reference Adaptive Control via approximate
Global stabilization of a PVTOL aircraft with bounded thrust
FINITE DIMENSIONAL OPEN LOOP CONTROL GENERATORS FOR *NONLINEAR SYSTEMS
AN ALGEBRAIC APPROACH TO BOUNDED CONTROLLABILITY OF LINEAR SYSTEMS
Stabilizing a nonlinear system with limited information feedback
Coordinated Path Following Control of Multiple Wheeled Robots with Directed Communication Links
On the Stabilization of Input Delayed Oscillators Fr6d6rlc Mazenc 1 Sabine Mondi6 2 Silviu-Iulian Niculescu a
Summability criteria for stability of sets for sampled-data nonlinear inclusions Dragan Nesic Antonio Loria Elena Panteley Andrew R. Teel
A new mechanism for bistability in chemical reaction networks
Contractive Systems with Inputs Eduardo D. Sontag
Modular cell biology: retroactivity and insulation Domitilla Del Vecchio1,
Separating Bi-Chromatic Points by Parallel Lines Tetsuo Asano John Hershberger Janos Pach Eduardo Sontag
Semiglobal regulation of linear systems in presence of measurement constraint Lorenzo Marconi*
Optimal Length and Signal Amplification in Weakly Activated Signal Transduction Madalena Chaves,*, Eduardo D. Sontag, and Robert J. Dinerstein
Stabilizing linear systems with saturation through optimal control
Suboptimal Control of Constrained Nonlinear Systems Receding Horizon State Dependent Riccati Equations.
J. Math. Biol. DOI 10.1007/s00285-009-0309-0 Mathematical Biology
Series Preface v Preface to the Second Edition vii
Synchonization in Oscillator Networks with Heterogeneous Delays, Switching Topologies and Nonlinear Dynamics
Output Tracking Control of PWA Systems Nathan van de Wouw, Alexey V. Pavlov, Kristin Y. Pettersen and Henk Nijmeijer
Hybrid Function Approximation : A Variational Approach Florent Delmotte, Magnus Egerstedt and Erik Verriest
Asymptotic stabilization via output feedback for lower triangular systems
> restart:with(linalg): Warning, the protected names norm and trace have been redefined and
Approximate Bisimulations for Nonlinear Dynamical Systems Antoine Girard and George J. Pappas
Bulletin of Mathematical Biology (2009) 71: 12851322 DOI 10.1007/s11538-009-9402-1
Abstract--An extension of backstepping design method to stabilization of nonlinear systems with respect to a set is
Forwarding control of scale model autonomous helicopter: A Lyapunov control design
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, VOL. 48, NO. 2, FEBRUARY 2003 313 A Remark on the Converging-Input
Input/Output and StateSpace Stability Eduardo D. Sontag \Lambda
From Linear to Nonlinear: Some Complexity Comparisons Eduardo Sontag
A Lyapunov Characterization of Robust Stabilization
UNIQUENESS OF WEIGHTS FOR RECURRENT NETS Francesca Albertini
Integrated design of discrete-time controller for an active suspension system Dina Shona Laila
Methods of robustness analysis for Boolean models of gene control networks
Ensuring Stability of State-dependent Riccati Equation Controllers Via Satis cing
Partial State Feedback Tracking with ISpS Disturbance Attenuation via Direct Adaptive Design
Additional remark on distance to singularity (appendix A) Lemma A.2.4 and Corollary A.2.5 show that min measures, for a matrix with full row or column
Computation Observability Regions for Discrete-time Hybrid Systems Giancarlo Ferrari-Trecate
Molecular Cell Biology: A Quick Introduction for non-Biologists
Vapnik-Chervonenkis Dimension of Recurrent Neural Networks
It has been known for a long time that certain controlla bility properties are more difficult to verify than others. This
NEURAL NETS AS SYSTEMS MODELS AND CONTROLLERS 3 Eduardo D. Sontag
Universal formulas for CLF's with respect to Minkowski balls 1
GENERAL CLASSES OF CONTROLLYAPUNOV FUNCTIONS EDUARDO D. SONTAG \Lambda
UNIQUENESS OF WEIGHTS FOR RECURRENT NETS Francesca Albertini
Integral Input-to-State Stability of the Drive-Train of a Wind Turbine Chen Wang and George Weiss
Supplementary Materials, Part III. Modeling the Cdc2/APC system Here we present three simplified models for the Cdc2/APC system. In the first, Cdc2
Input-output realization of piecewise affine state space models S. Paoletti, J. Roll, A. Garulli, A. Vicino
Robust Regulation for a Magnetic Levitation System* Claudio Bonivento Luca Gentili Lorenzo Marconi Roberto Naldi
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, VOL. 55, NO. 6, JUNE 2010 1367 Synchronization of Interconnected Systems With
IEEE TRANSACTIONS ON AUTOMATIC CONTROL 40(1995): 1476-1478 1 Changing Supply Functions
Nonlinear Analysis 60 (2005) 11111150 www.elsevier.com/locate/na
A Comparison of the Computational Power of Sigmoid and Boolean Threshold Circuits
KALMAN'S CONTROLLABILITY RANK CONDITION: FROM LINEAR TO NONLINEAR
Addendum to Lecture Notes in Mathematical and Systems Biology Warning: being continuously revised and updated. This is version 0.8, November 23, 2009
iISS gain of dissipative systems Bayu Jayawardhana, Andrew R. Teel, Eugene P. Ryan
On Stability and L2-gain for Switched Systems Jun Zhao and David J. Hill
Robust adaptive path following of underactuated ships , Z.P. Jiang2
Automatica 42 (2006) 18131816 www.elsevier.com/locate/automatica
Constructive nonlinear anti-windup design for exponentially unstable linear plants
Input to State Stability: Basic Concepts and Results Eduardo D. Sontag1
On Characterizations of the Input-to-State Stability Property Eduardo D. Sontag
Computation of Invariant Sets for Piecewise Affine Discrete Time Systems subject to Bounded
Using Fourier-Neural Recurrent Networks to Fit Sequential Input/Output Data
Complete Controllability of Continuous-Time Recurrent Neural Networks
Control of a two Level Open Quantum System
Math 338, Additional Mutation Problem for Chapter 3 Consider a single locus admitting 3 alleles, A, B, and C. Assume infinite population,
Automatica 36 (2000) 269}277 Brief Paper
A small-gain approach to stability analysis of hybrid systems Dragan Nesic and Daniel Liberzon
Continuous ControlLyapunov Functions for Asymptotically Controllable TimeVarying Systems
Complete Controllability of ContinuousTime Recurrent Neural Networks \Lambda
Miscellaneous errata and style changes for: Mathematical Control Theory: Deterministic Finite Dimensional Systems
We deal with computational issues of loading a fixedarchitecture neural net work with a set of positive and negative examples. This is the first result on
FURTHER COMMENTS ON THE STABILIZABILITY OF THE ANGULAR VELOCITY OF A RIGID BODY 1
The ISS Philosophy as a Unifying Framework
A few outlined additional notes for chapter 6 Please note: these complement, and not substitute for, the notes that Dr. Ocone
Systems & Control Letters 38 (1999) 235248 www.elsevier.com/locate/sysconle
Global Stabilization and Convergence of Nonlinear Systems with Uncertain Exogenous Dynamics
Model selection in gene regulation and prediction of
Approximate Bisimulations for Constrained Linear Systems Antoine Girard and George J. Pappas
Trajectory Learning and Output Feedback Control of Nonlinear Discrete--Time Systems
A Stabilizing Time-switching Control Strategy for the Rolling Sphere Daniele Casagrande, Alessandro Astolfi, and Thomas Parisini
DISCRETE AND CONTINUOUS Website: http://AIMsciences.org DYNAMICAL SYSTEMSSERIES B
Input-state matching under digital control and D. Normand-Cyrot
UNIQUENESS OF WEIGHTS FOR RECURRENT NETS Francesca Albertini
Characterizations of detectability notions in terms of discontinuous dissipation functions MIKHAIL KRICHMAN{* and EDUARDO D. SONTAG{
On preservation of dissipation inequalities under Dragan Nesic, Dina S. Laila,
Control of nonlinear systems with time delay Mrdjan Jankovic
Journal of Theoretical Biology 241 (2006) 3948 Theoretical analysis of a synaptotropic dendrite growth mechanism
Some comments on bifurcations This is the definition of bifurcate from Merriam-Webster Dictionary: "to cause to divide into
doi:10.1152/ajprenal.00043.2005 289:699-720, 2005. First published Apr 26, 2005;Am J Physiol Renal Physiol
NATURE | VOL 420 | 14 NOVEMBER 2002 | www.nature.com/nature 231 insight review articles
Computation of the Excitability Index for Linear Oscillators Boris Andrievsky
Adaptive Receding Horizon Control of Tubular Bioreactors J.M. Igreja, J. M. Lemos and R. N. Silva
On Control-Lyapunov Functions for Hybrid Time-Varying Systems Michael Malisoff and Frederic Mazenc
Passivity-based Stabilization of Non-Compact Sets Mohamed I. El-Hawwary and Manfredi Maggiore
List of Publications [1] D. Angeli and E.D. Sontag. A small-gain result for orthant-monotone systems in feedback: the
This paper describes how notions of input-to-state stabiliza-tion are useful when stabilizing cascades of systems.
there are still ten closely spaced columns at the central ring, but now only five have
Robust Estimation and Control Using Command-to-State Mapping Electrical Engineering, SEECS
Norm estimators and global output feedback stabilization of nonlinear systems with ISS inverse dynamics
Improving the Performance of an Electrostatically Actuated MEMS by Nonlinear Control: Some Advances and Comparisons
Systems & Control Letters 47 (2002) 167179 www.elsevier.com/locate/sysconle
A tutorial on monotone systems-with an application to chemical reaction networks
Inference of Signal Transduction Networks from Double Causal Evidence
Output feedback stabilisation of a class of nonlinear systems via reduced-order observers and certainty equivalence
Journal of Theoretical Biology 243 (2006) 214221 External noise and feedback regulation: Steady-state statistics
J. Differential Equations 224 (2006) 205227 www.elsevier.com/locate/jde
Abstract--The problem of adaptive asymptotic stabilization of a set for nonlinear convexly parameterized dynamical plant
Design and Implementation of Industrial Neural Network Controller Using Backstepping
Optimal Controllers for Hybrid Systems: Stability and Piecewise Linear Explicit Form
Control of Multi-Affine Systems on Rectangles with Applications to Hybrid Biomolecular Networks
Input-to-state stabilization for nonlinear sampled-data systems via approximate discrete-time
Global Con guration Stabilization for the VTOL Aircraft with Strong Input Coupling
BBC NEWS | Science/Nature | US pair share Nobel chemistry prize http://news.bbc.co.uk/2/hi/science/nature/3174062.stm 1 of 2 10/08/2003 08:20 AM
Recurrent Neural Networks: Some SystemsTheoretic Aspects \Lambda
A Smooth Converse Lyapunov Theorem for Robust Stability Yuandan Lin 3
A General Result on the Stabilization of Linear Systems Using Bounded Controls 1
[1] Arai, M., ``Mapping abilities of threelayer neural networks,'' Proc. Int. Joint Conf. on Neural Networks , Washington, DC, June 1822, 1989, IEEE Publications, 1989, pp. I
Neural Systems as Nonlinear Filters Wolfgang Maass #
Journal of Theoretical Biology 243 (2006) 287298 The growth and form of tunnelling networks in ants
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, VOL. 54, NO. 2, FEBRUARY 2009 195 Input Classes for Identifiability of Bilinear Systems
Stability and Convergence for Systems with Switching Equilibria Silvia Mastellone, Dusan M. Stipanovic and Mark W. Spong
Hybrid Systems Techniques for Convergence of Solutions to Switching Systems
On Hybrid Systems and Closed-Loop MPC Systems A. Bemporad1
Further results on global stabilization for multiple integrators with bounded controls Nicolas Marchand
Generating series and nonlinear systems: Analytic aspects, local realizability, and i/o representations1
REMARKS ON THE TIME-OPTIMAL CONTROL OF A CLASS OF HAMILTONIAN SYSTEMS
Nonlinear output feedback design for linear systems with saturating controls
State-Dependent Scaling Characterization of Stability and Performance for Nonlinear Interconnected Systems
To appear in Control--Theory and Advanced Technology, Vol. 10, No. 4, 1995 Control-Lyapunov Universal Formulas for Restricted Inputs
FEEDFORWARD NETS FOR INTERPOLATION AND CLASSIFICATION
Report SYCON-89-03 A "UNIVERSAL" CONSTRUCTION OF ARTSTEIN'S THEOREM ON
Additional remark on controllability Gramians Let us consider the problem of minimizing the energy (L2
Stability of Rate-Controlled Zero-Deficiency Networks Madalena Chaves
Stability analysis of dynamic multilayer neuro identifier Departamento de Control Automatico,
The ISS Philosophy as a Unifying Framework for Stability-Like Behavior
The jump from nonlinear to hybrid systems
Adaptive Control of First-order Nonlinear Systems with Input Non-affine Nonlinearities
Towards ISS Disturbance Attenuation for Randomly Switched Systems Debasish Chatterjee and Daniel Liberzon
Nonlinear observability and an invariance principle for switched systems Jo~ao P. Hespanha
Global Asymptotic Stabilization for Chains of Integrators with a Delay in the Input 1
SEPARATION PRINCIPLES FOR INPUT-OUTPUT AND INTEGRAL-INPUT-TO-STATE STABILITY
ON TWO DEFINITIONS OF OBSERVATION SPACES 1 Eduardo D. Sontag
Shape, Size, and Robustness: Feasible Regions in the Parameter Space of Biochemical Networks
1.1 Introduction to modeling with differential equations A differential equation is just an equation which involves "differentials", that is to say, deriva-
Stability of Nonlinear Asynchronous Systems David Mu~noz de la Pe~na and Panagiotis D. Christofides
A numerical algorithm as an observer for spacecraft attitude determination
Automatica 42 (2006) 15311537 www.elsevier.com/locate/automatica
Realization of interconnected nonlinear input-output discrete-time systems Institut de Recherche en Communications et
Mechanisms for Noise Attenuation in Molecular Biology Signaling Pathways
arXiv:physics/0003100v130Mar2000 Auditory sensitivity provided by
A General Result on the Stabilization of Linear Systems Using Bounded Controls1
List of References for Mathematical Control Theory: Deterministic Finite Dimensional Systems
List of Publications 1. Albertini, F., and W.J. Runggaldier, "Logarithmic Transformations for
ANALOG COMPUTATION VIA NEURAL NETWORKS \Lambda Hava T. Siegelmann
A CHOW PROPERTY FOR SAMPLED BILINEAR SYSTEMS Eduardo D. Sontag \Lambda
Forward Completeness, Unboundedness Observability, and their Lyapunov Characterizations
This replaces pages 56 and 57: Theorem 1 Let \Sigma be a (timeinvariant, continuoustime) system, and pick
InputOutput Stability A.R. Teel \Lambda , T.T. Georgiou \Lambda , L. Praly y and E. Sontag z
Reprint of: Sontag, E.D., ``Remarks on stabilization and inputtostate
SOME CONNECTIONS BETWEEN STABILIZATION AND FACTORIZATION
Infinite Time Optimal Control of Hybrid Systems with a Linear Performance Index Mato Baotic, Frank J. Christophersen, and Manfred Morari
TIMEOPTIMAL CONTROL OF MANIPULATORS Eduardo D. Sontag * and Hector J. Sussmann *
ASYMPTOTIC CONTROLLABILITY AND FEEDBACK STABILIZATION
Some Remarks on Phase Planes A technique which is often very useful in order to analyze the phase plane behavior of a two
Input-Output-to-State Stability Mikhail Krichman
Fold-change detection and scalar symmetry of sensory input fields
Asymptotic Controllability Implies Feedback Stabilization
New Characterizations of Input to State Stability Eduardo D. Sontag
Adaptive controller and observer design for a class of nonlinear systems Yongliang Zhu and Prabhakar R. Pagilla
A converse Lyapunov theorem for semiglobal practical asymptotic stability and application to cascades-based control
ll cells must continually sense their surrounding environment and make
State-Estimators for Chemical Reaction Networks of Feinberg-Horn-Jackson Zero Deficiency Type
NEURAL NETWORKS FOR CONTROL Eduardo D. Sontag
Geography and community in complex Vincent Blondel
INPUT-TO-STATE STABILITY FOR DISCRETE-TIME NONLINEAR SYSTEMS
NEURAL NETS AS SYSTEMS MODELS AND CONTROLLERS Eduardo D. Sontag
On persistence of chemical reaction networks with time-dependent kinetics and no global conservation laws
Adaptive NN Control of Strict-feedback Systems Using ISS-modular Beibei Ren, Shuzhi Sam Ge, and Tong Heng Lee
Model Reduction by Balanced Truncations. Notes by Eduardo Sontag, Rutgers, Nov 2006
Reprinted from: Artificial Neural Networks for Speech and Vision (Proc. Workshop held at Rutgers, 1992, Edited by Richard J. Mammone)
Workshop on Perspectives and Future Directions in Systems and Control Theory
On Input-to-State Stability of Impulsive Systems Jo~ao P. Hespanha
Polynomial-Time Probabilistic Observability Analysis of Sampled-Data Piecewise Affine Systems
Output-input stability and feedback stabilization of multivariable nonlinear control systems
Further Results on Controllability of Recurrent Neural Networks \Lambda
Analog Neural Nets with Gaussian or other Common Noise Distributions cannot Recognize Arbitrary
Global Stabilization of Linear DiscreteTime Systems with Bounded Feedback
BILINEAR REALIZABILITY IS EQUIVALENT TO EXISTENCE OF A SINGULAR AFFINE DIFFERENTIAL I/O EQUATION
VapnikChervonenkis Dimension of Recurrent Neural Networks
FEEDBACK STABILIZATION OF NONLINEAR SYSTEMS Eduardo D. Sontag
Finite Gain Stabilization of Discrete-Time Linear Systems Subject to Actuator Saturation
BACKPROPAGATION SEPARATES WHERE PERCEPTRONS DO1 Eduardo D. Sontag
2001 Macmillan Magazines Ltd 908 | DECEMBER 2001 | VOLUME 2 www.nature.com/reviews/molcellbio
Linear Matrix Inequalities vs Convex Sets with admiration and friendship for Eduardo
Asymptotic tracking for state-constrained monotone systems Luigi Chisci and Paola Falugi
Systems & Control Letters 34 (1998) 93100 Comments on integral variants of ISS 1
Discrete-time stabilization of integrators in cascade: Real-time stabilization of a mini-rotorcraft
Global Uniform Asymptotic Stabilization of an Underactuated Surface Vessel
Output Feedback Control of Parabolic PDE Systems with Input Constraints1
Adaptive State Feedback Control for a Class of Stochastic Nonlinear Systems
On stability of sets for sampled-data nonlinear inclusions via their approximate discrete-time models
Low-Bias Control of AMB Subject to Voltage Saturation: State-Feedback and Observer Designs
Recurrent Neural Networks: Some Systems-Theoretic Aspects
On nonlinear sampling inversion S. Monaco and D. Normand-Cyrot
Specification and design of coordinated motions for autonomous vehicles1
Remarks on Control Lyapunov Functions for Discontinuous Stabilizing Feedback
CONTINUOUS STABILIZERS AND HIGH-GAIN FEEDBACK Eduardo D. Sontag*
Results on robust stabilization of asymptotically controllable systems by hybrid feedback
Topology and Robustness in the Drosophila Segment Polarity Network
Preface for Mathematical Control Theory: Deterministic Finite Dimensional Systems
JOURNAL OF COMPUTATIONAL BIOLOGY Volume 9, Number 1, 2002
Characterization of Poisson Process, Notes for Rutgers Math 338, Spring 2005, E,D. Sontag We consider a process {N(t), t 0} that counts the number of "hits" happening in the interval [0, t].1
The Effect of Negative Feedback Loops on the Dynamics of Boolean Networks
A REMARK ON BILINEAR SYSTEMS AND MODULI SPACES OF INSTANTONS
Directional migration: a prototypical cellular control system
On the Observability of Piecewise Linear Systems Mohamed Babaali
Problems for 640:338, Spring 2008; Week 13 (Note: do the two global alignment problems. Only attempt the local alignment and
Introduction to FirstOrder Differential Equations January 31, 1999
OutputtoState Stability and Detectability of Nonlinear Systems
Generating series and nonlinear systems: Analytic aspects, local realizability, and i/o representations 1
Attractors under perturbation and discretization Fachbereich Mathematik
A REMARK ON ROBUST STABILIZATION OF GENERAL ASYMPTOTICALLY CONTROLLABLE SYSTEMS
A Note on Input-to-State Stability of Networked Control Systems D. Nesic and A. R. Teel
CONTROLLABILITY IS HARDER TO DECIDE THAN ACCESSIBILITY Eduardo D. Sontag*
A Characterization of Integral Input to State David Angeli, Eduardo D. Sontag, Yuan Wang
A Lyapunov-Krasovskii Methodology for ISS of Time-Delay Systems
Global asymptotic stabilization by output feedback for some non minimum phase non linear systems
REAL ADDITION AND THE POLYNOMIAL HIERARCHY* Eduardo D. Sontag**
Biology by design: reduction and synthesis of cellular components and behaviour
J. Differential Equations 239 (2007) 273295 www.elsevier.com/locate/jde
Journal of Theoretical Biology 227 (2004) 413428 Steady-states of receptorligand dynamics: a theoretical framework
On the Robust Stability of Unforced Nonlinear Systems Vahid Zahedzadeh, Horacio J. Marquez, and Tongwen Chen
A max-plus affine power method for approximation of a class of mixed L2 / L value functions. Peter M. Dower*
Polytopic Lyapunov functions for the stability analysis of persistence of competing species
J. Math. Biol. (2009) 59:315358 DOI 10.1007/s00285-008-0230-y Mathematical Biology
It has been known for a long time that certain controlla-bility properties are more difficult to verify than others. This
Redesigning a Class of Nonlinear Observers for Certainty-Equivalence Control
Fractal Graph Optimization Algorithms James R. Riehl and Jo~ao P. Hespanha
Passivity-Based Designs for Synchronized Path Following Ivar-Andre F. Ihle1, Murat Arcak2 and Thor I. Fossen1,3
A Petri net approach to the study of persistence in chemical reaction networks
A Model Reduction Algorithm for Hidden Markov Models Georgios Kotsalis, Alexandre Megretski, Munther A. Dahleh
On coherent dynamical systems Morris W. Hirsch
Stochastic Stability of a Class of Distributed Delay Systems Erik I. Verriest
Stabilization Conditions for Model Predictive Control of Constrained PWA Systems
Exact computation of amplification for a class of nonlinear systems arising from cellular signaling pathways
FOR NEURAL NETWORKS, FUNCTION DETERMINES FORM Francesca Albertini(*)
J. Differential Equations 224 (2006) 373384 www.elsevier.com/locate/jde
PARAMETRIC STABILIZATION IS EASY* Eduardo D. Sontag**
Systems & Control Letters 46 (2002) 111127 www.elsevier.com/locate/sysconle
Proceedingsof the American Control Conference Philadelphia, Pennsylvania June 1998
ASYMPTOTIC CONTROLLABILITY AND FEEDBACK STABILIZATION
Bibliography 503 1. Abed, E.H., and J-H. Fu, "Local stabilization and bifurcation control, I.
Optimal control of constrained, piecewise affine systems with bounded disturbances1
Tracking and disturbance rejection for passive nonlinear systems Bayu Jayawardhana
Lyapunov-based approach for finite time stability and stabilization Emmanuel Moulay and Wilfrid Perruquetti
SOME CONNECTIONS BETWEEN STABILIZATION AND FACTORIZATION
On Characterizations of InputtoState Stability with Respect to Compact Sets
Clocks and Insensitivity to Small Measurement Errors E. D. Sontag \Lambda
Observability of Linear Systems with Saturated Ren'ee Koplon \Lambda
A Notion of Input to Output Stability Eduardo Sontag \Lambda
Report SYCON8815 FURTHER FACTS ABOUT INPUT TO STATE STABILIZATION
Nonsmooth ControlLyapunov Functions Eduardo Sontag \Lambda
Stability Regions for Saturated Linear Systems via Conjugate Lyapnov Functions
Composite Quadratic Lyapunov Functions for Constrained 1Control Systems
LINEAR QUADRATIC OPTIMIZATION FOR MODELS WITH RATIONAL EXPECTATIONS
ALGEBRAIC DIFFERENTIAL EQUATIONS AND RATIONAL CONTROL Mathematics Department, Florida Atlantic University, Boca Raton, Fl 33431
A new differential algebra algorithm to test identifiability of nonlinear systems with given initial conditions
Inferring dynamic architecture of cellular networks using time series of gene expression,
arXiv:math.OC/0205017v12May2002 Singular trajectories in multi-input time-optimal
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Summation-type conditions for uniform asymptotic convergence in discrete-time systems: applications in identification
Shattering all sets of k points in "general position" requires (k -1)/2 parameters
Report SYCON-88-02 SOME REMARKS ON THE BACKPROPOGATION ALGORITHM
Input-to-State Stabilizing MPC for Neutrally Stable Linear Systems subject to Input Constraints
Any domain of attraction for a linear constrained system is a tracking domain of attraction
Adaptive Receding Horizon Control of a Distributed Collector Solar Field
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL Int. J. Robust Nonlinear Control 2003; 13:10351056 (DOI: 10.1002/rnc.753)
Modelling of Nonlinear Systems from Input-Output Data for State Space Realization
State-Space and I/O Stability for Nonlinear Systems
Recursive Observer Design beyond the Uniform Observability
Synthetic incoherent feedforward circuits show adaptation to the amount of their genetic template
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Symbolic Math in Matlab Matlab has a powerful symbolic math ability. Rather than making calculations on known
Proceedingsof the 42nd IEEE Conference on Decisionand Control
172 IEEE CONTROL SYSTEMS MAGAZINE DECEMBER 2011 n May 2325, 2011, a workshop