文章基本信息

标题：Language constrained stabilization of discrete-time switched linear systems: an LMI approach
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作者：Marc Jungers ; Antoine Girard ; Mirko Fiacchini 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2018
卷号：51
期号：16
页码：25-30
DOI：10.1016/j.ifacol.2018.08.005
语种：English
出版社：Elsevier
摘要：AbstractThe goal of this paper is to study sufficient conditions to stabilize an autonomous discrete-time switched system, for which the switching law should belong to a constrained language characterized by a nondeterministic automaton. Based on a decomposition into strongly connected components of the automaton, it is shown that it suffices to consider only a nontrivial strongly connected component. Sufficient conditions are provided as a set of Linear Matrix Inequalities (LMIs) related to the automaton states and associated with a min-switching strategy. Equivalence with the periodic stabilization is investigated. A numerical example is provided to illustrate the main result.
关键词：KeywordsSwitched systemsStabilizabilityLMILanguage constrainedAutomaton