Stability of switched nonlinear systems via extensions of LaSalle's invariance principle

被引：20

作者：

Wang JinHuan ^{[1
]}

Cheng DaiZhan ^{[1
]}

机构：

[1] Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100190, Peoples R China

来源：

SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES | 2009年 / 52卷 / 01期

基金：

中国国家自然科学基金;

关键词：

LaSalle's invariance principle; switched systems; weak common Lyapunov function; asymptotically stable; CONVERSE LYAPUNOV THEOREM; DESIGN;

D O I：

10.1007/s11432-009-0006-z

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper studies the extension of LaSalle's invariance principle for switched nonlinear systems. Unlike most existing results in which each switching mode in the system needs to be asymptotically stable, this paper allows the switching modes to be only stable. Under certain ergodicity assumptions of the switching signals, two extensions of LaSalle's invariance principle for global asymptotic stability of switched nonlinear systems are obtained using the method of common joint Lyapunov function.

引用

页码：84 / 90

页数：7

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