文章基本信息

标题：Stability Analysis using New Variant of Halanay’s Inequality ⁎ ⁎
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作者：Frédéric Mazenc ; Michael Malisoff ; Miroslav Krstic 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2021
卷号：54
期号：9
页码：783-786
DOI：10.1016/j.ifacol.2021.06.139
语种：English
出版社：Elsevier
摘要：AbstractWe present a generalized form of Halanay’s inequality, having a time varying gain multiplying the delayed term, and having a constant decay rate. Unlike the usual Halanay’s conditions where the decay rate is required to be strictly larger than an upper bound on the gain multiplying the delayed term, we provide less restrictive conditions that allow times when the decay rate can be strictly less than the gain. We include an application to continuous time systems with switched delay values. This illustrates the utility of our generalized Halanay’s inequality conditions for proving asymptotic stability in significant cases that violate the contraction condition that was needed to prove asymptotic stability in previous trajectory based results, and which are also not amenable to previous Lyapunov function constructions.
关键词：KeywordsStabilitydelay systemsswitching