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.
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页码：323 / 345
页数：23
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