ASYMPTOTIC STABILITY OF UNIFORMLY BOUNDED NONLINEAR SWITCHED SYSTEMS

被引：6

作者：

Jouan, Philippe ^{[1
]}

Naciri, Said ^{[1
]}

机构：

[1] Univ Rouen, Lab Math Raphael Salem, CNRS, UMR 6085, F-76801 St Etienne, France

来源：

MATHEMATICAL CONTROL AND RELATED FIELDS | 2013年 / 3卷 / 03期

关键词：

Switched systems; asymptotic stability; weak Lyapunov functions; chaotic signals; omega-limit sets; INVARIANCE-PRINCIPLE;

D O I：

10.3934/mcrf.2013.3.323

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the asymptotic stability properties of nonlinear switched systems under the assumption of the existence of a common weak Lyapunov function. We consider the class of nonchaotic inputs, which generalize the different notions of inputs with dwell-time, and the class of general ones. For each of them we provide some sufficient conditions for asymptotic stability in terms of the geometry of certain sets.

引用

页码：323 / 345

页数：23

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