Input-to-state stability of switched nonlinear systems

被引：23

作者：

Feng Wei ^{[1
,2
]}

Zhang JiFeng ^{[2
]}

机构：

[1] Shandong Agr Univ, Coll Informat Sci & Engn, Tai An 271018, Shandong, Peoples R China

[2] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China

来源：

SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES | 2008年 / 51卷 / 12期

基金：

中国国家自然科学基金;

关键词：

switched system; input-to-state stability; Lyapunov function; dwell-time;

D O I：

10.1007/s11432-008-0161-7

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The input-to-state stability (ISS) problem is studied for switched systems with infinite subsystems. By using multiple Lyapunov function method, a sufficient ISS condition is given based on a quantitative relation of the control and the values of the Lyapunov functions of the subsystems before and after the switching instants. In terms of the average dwell-time of the switching laws, some sufficient ISS conditions are obtained for switched nonlinear systems and switched linear systems, respectively.

引用

页码：1992 / 2004

页数：13

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