Finite-time stability of switched systems

被引：0

作者：

Sheng, Wenbo ^{[1
]}

Zhang, Xiaoli ^{[1
]}

机构：

[1] Xiamen Univ, Dept Automat, Xiamen 361005, Peoples R China

来源：

PROCEEDINGS OF THE 2012 24TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC) | 2012年

关键词：

finite-time stability; switched systems; average dwell-time; nonlinear systems; sum of squares;

D O I：

暂无

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 finite-time stability of switched linear systems which contain both Hurwitz stable subsystems and unstable subsystems is researched in this paper. Firstly, the definition of finite-time stability is introduced. Then, based on the average dwell-time concept and by using the idea of specifying the total activation time period ration between the Hurwitz stable subsystems and unstable subsystems, some sufficient conditions for the finite-time stability are gotten. The problem of switched nonlinear systems through designing state feedback controllers is also studied. The sufficient conditions for finite-time stability of switched nonlinear systems are expressed through the forms of polynomial matrix inequalities which can be solved by means of SOSTOOLS. Finally, two examples are presented to show the validity of the results.

引用

页码：270 / 274

页数：5

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