A LYAPUNOV CHARACTERIZATION OF ASYMPTOTIC CONTROLLABILITY FOR NONLINEAR SWITCHED SYSTEMS

被引：7

作者：

Wang, Yanling ^{[1
]}

Qi, Ailing ^{[2
]}

机构：

[1] Tianjin Univ, Dept Math, Tianjin 300072, Peoples R China

[2] Civil Aviat Univ China, Coll Sci, Tianjin 300300, Peoples R China

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2014年 / 51卷 / 01期

关键词：

switched systems; control systems; asymptotically controllable; control-Lyapunov function; differential inclusions; STABILITY;

D O I：

10.4134/BKMS.2014.51.1.001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper; we show that general nonlinear switched systems are asymptotically controllable if and only if there exist control-Lyapunov functions for their relaxation systems. If the switching signal is dependent on the time, then the control-Lyapunov functions are continuous. And if the switching signal is dependent on the state, then the control-Lyapunov functions are C-1-smooth. We obtain the results from the viewpoint of control system theory. Our approach is based on the relaxation theorems of differential inclusions and the classic Lyapunov characterization.

引用

页码：1 / 11

页数：11

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