文章基本信息

标题：Lyapunov Function computation for Periodic Linear Hybrid Systems via Handelman, Polya and SoS approaches: A comparative study
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作者：Leonardo F. Toso ; Giorgio Valmorbida
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2022
卷号：55
期号：16
页码：160-165
DOI：10.1016/j.ifacol.2022.09.017
语种：English
出版社：Elsevier
摘要：AbstractWe propose a method for the stability analysis of linear hybrid systems with periodic jumps. The method relies on the solution to polynomial inequalities based on the Handelman decomposition. Compared to existing approaches, such as sum-of-squares (SoS) and Polya's theorem, the proposed method reduces the computation time to obtain stability certificates.
关键词：KeywordsPeriodic linear hybrid systemsLyapunov stability analysispolynomial methodsconvex optimizationsemidefinite programming