Language constrained stabilization of discrete-time switched linear systems: a Lyapunov-Metzler inequalities approach

Abstract : This paper addresses the issue of stabilizability of an autonomous discrete-time switched system via a switching law that is constrained to belong to a language generated by an nondeterministic finite state automaton. Firstly the automaton is decomposed into strongly connected components to reduce the problem to the stabilizability of each non trivial strongly connected component. Secondly the approach considering Lyapunov-Metzler inequalities taking into account the language constraint for a strongly connected component is proposed. Links with the current literature are discussed and a detailed example is given to illustrate our contributions.
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https://hal.archives-ouvertes.fr/hal-01386851
Contributor : Antoine Girard <>
Submitted on : Monday, October 24, 2016 - 5:08:21 PM
Last modification on : Thursday, August 22, 2019 - 11:32:03 AM

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Marc Jungers, Antoine Girard, Mirko Fiacchini. Language constrained stabilization of discrete-time switched linear systems: a Lyapunov-Metzler inequalities approach. 55th IEEE Conference on Decision and Control (CDC 2016), Dec 2016, Las Vegas, NV, United States. ⟨10.1109/cdc.2016.7799120 ⟩. ⟨hal-01386851⟩

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