文章基本信息

标题：A geometric stabilization of planar switched systems
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作者：Cyrille Chenavier ; Rosane Ushirobira ; Giorgio Valmorbida 等
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：6446-6451
DOI：10.1016/j.ifacol.2020.12.1787
语种：English
出版社：Elsevier
摘要：AbstractIn this paper, we investigate a particular class of switching functions between two linear systems in the plan. The considered functions are defined in terms of geometric constructions. More precisely, we introduce two criteria for proving uniform stability of such functions, both criteria are based on the construction of a Lyapunov function. The first criterion is constructed in terms of an algebraic reformulation of the problem and linear matrix inequalities. The second one is purely geometric. Finally, we illustrate these methods with a numerical example.
关键词：KeywordsLinear systemsswitching functionsstabilizationalgebraic approachesgeometric approaches