文章基本信息

标题：Lyapunov-based Singular Perturbation Results in the Framework of Hybrid Systems ⁎
本地全文：下载
作者：Xue-Fang Wang ; Kun-Zhi Liu ; Xi-Ming Sun 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：2027-2032
DOI：10.1016/j.ifacol.2020.12.2512
语种：English
出版社：Elsevier
摘要：AbstractStability properties of singularly perturbed hybrid systems are investigated via Lyapunov functions with assistance from the invariance principle. Both continuously differentiable Lyapunov functions and non-smooth Lyapunov functions are considered. In each case, under appropriate assumptions, uniform asymptotic stability and uniform global asymptotic stability are established. An estimate of the basin of attraction is given for the former property. Two examples are given to illustrate the proposed theoretical results based on continuously differentiable Lyapunov functions. In addition, one example for switched learning inclusions with unstable modes is given to show the effectiveness of the results obtained based on non-smooth Lyapunov functions.
关键词：KeywordsSingular perturbationhybrid dynamical systemsLyapunov function methodsuniform asymptotic stabilityuniform global asymptotic stability