Asymptotic convergence of constrained primal–dual dynamics

Cherukuri, Ashish; Mallada, Enrique; Cortés, Jorge

doi:10.1016/j.sysconle.2015.10.006

Title: Asymptotic convergence of constrained primal–dual dynamics

Journal Article · 01 January 2016 · Systems & Control Letters

DOI: https://doi.org/10.1016/j.sysconle.2015.10.006 · OSTI ID:1556180

Cherukuri, Ashish;

; Cortés, Jorge

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Sponsoring Organization:: USDOE

Grant/Contract Number:: AC52-06NA25396

OSTI ID:: 1556180

Journal Information:: Systems & Control Letters, Journal Name: Systems & Control Letters Vol. 87 Journal Issue: C; ISSN 0167-6911

Publisher:: ElsevierCopyright Statement

Country of Publication:: Netherlands

Language:: English

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Cited by: 107 works

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References (12)

Convergence Analysis of Saddle Point Problems in Time Varying Wireless Systems— Control Theoretical Approach Chen, Junting; Lau, Vincent K. N. IEEE Transactions on Signal Processing, Vol. 60, Issue 1 https://doi.org/10.1109/TSP.2011.2169407	journal	January 2012
Dynamical properties of hybrid automata Lygeros, J.; Johansson, K. H.; Simic, S. N. IEEE Transactions on Automatic Control, Vol. 48, Issue 1 https://doi.org/10.1109/TAC.2002.806650	journal	January 2003
Network Resource Allocation for Users With Multiple Connections: Fairness and Stability Ferragut, Andres; Paganini, Fernando IEEE/ACM Transactions on Networking, Vol. 22, Issue 2 https://doi.org/10.1109/TNET.2013.2251896	journal	April 2014
Solutions of Saddle Value Problems by Differential Equations Kose, T. Econometrica, Vol. 24, Issue 1 https://doi.org/10.2307/1905259	journal	January 1956
Design and Stability of Load-Side Primary Frequency Control in Power Systems Zhao, Changhong; Topcu, Ufuk; Li, Na IEEE Transactions on Automatic Control, Vol. 59, Issue 5 https://doi.org/10.1109/TAC.2014.2298140	journal	May 2014
The Krakovskii-LaSalle Invariance Principle for a Class of Unilateral Dynamical Systems Brogliato, Bernard; Goeleven, Daniel Mathematics of Control, Signals, and Systems, Vol. 17, Issue 1 https://doi.org/10.1007/s00498-004-0145-0	journal	December 2004
Optimal load-side control for frequency regulation in smart grids Mallada, Enrique; Zhao, Changhong; Low, Steven 2014 52nd Annual Allerton Conference on Communication, Control, and Computing (Allerton) https://doi.org/10.1109/ALLERTON.2014.7028527	conference	September 2014
Distributed dynamic feedback control for smart power networks with tree topology Zhang, Xuan; Papachristodoulou, Antonis 2014 American Control Conference - ACC 2014 https://doi.org/10.1109/ACC.2014.6858966	conference	June 2014
A Unifying Passivity Framework for Network Flow Control Wen, J. T.; Arcak, M. IEEE Transactions on Automatic Control, Vol. 49, Issue 2 https://doi.org/10.1109/TAC.2003.822858	journal	February 2004
Stability of primal–dual gradient dynamics and applications to network optimization Feijer, Diego; Paganini, Fernando Automatica, Vol. 46, Issue 12 https://doi.org/10.1016/j.automatica.2010.08.011	journal	December 2010
A distributed continuous-time gradient dynamics approach for the active power loss minimizations Ma, Xu; Elia, Nicola 2013 51st Annual Allerton Conference on Communication, Control, and Computing (Allerton) https://doi.org/10.1109/Allerton.2013.6736511	conference	October 2013
Nonpathological Lyapunov functions and discontinuous Carathéodory systems Bacciotti, Andrea; Ceragioli, Francesca Automatica, Vol. 42, Issue 3 https://doi.org/10.1016/j.automatica.2005.10.014	journal	March 2006

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