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Error Bounds Based Stochastic Approximations and Simulations of Hybrid Dynamical Systems
 

Summary: Error Bounds Based Stochastic Approximations and Simulations of
Hybrid Dynamical Systems
Alessandro Abate, Aaron D. Ames and Shankar Sastry
Department of Electrical Engineering and Computer Sciences
University of California at Berkeley, Berkeley, CA 94720
{aabate,adames,sastry@eecs.berkeley.edu}
Abstract-- This paper introduces, develops and discusses
an integration-inspired methodology for the simulation and
analysis of deterministic hybrid dynamical systems. When
simulating hybrid systems, and thus unavoidably introducing
some numerical error, a progressive tracking of this error can
be exploited to discern the properties of the system, i.e., it
can be used to introduce a stochastic approximation of the
original hybrid system, the simulation of which would give a
more complete representation of the possible trajectories of the
system. Moreover, the error can be controlled to check and even
guarantee (in certain special cases) the robustness of simulated
hybrid trajectories.
I. BACKGROUND
Deterministic hybrid dynamical systems are intrinsically

  

Source: Abate, Alessandro - Faculty of Mechanical, Maritime and Materials Engineering, Technische Universiteit Delft

 

Collections: Engineering