文章基本信息

标题：Stability Analysis of Polytopic Markov Jump Linear Systems with Applications to Sequence-Based Control over Networks
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作者：Florian Rosenthal ; Uwe D. Hanebeck
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2020
卷号：53
期号：2
页码：3104-3111
DOI：10.1016/j.ifacol.2020.12.1030
语种：English
出版社：Elsevier
摘要：AbstractThis paper deals with sequence-based control over networks with time-varying and generally unknown delay and loss probabilities. We show that the problems of stability analysis and controller synthesis can be addressed using a polytopic Markov jump linear system describing an augmented system. For this kind of systems, we derive a necessary and sufficient condition for mean square stability that extends existing results in literature. Likewise, we provide a sufficient condition for mean square stabilizability in terms of an LMI feasibility test. The results are illustrated in a numerical example.
关键词：KeywordsControl over networksControl under communication constraintsControl of switched systemsStabilitystabilization of hybrid systems