Stability analysis of switched positive linear systems with stable and unstable subsystems

被引：42

作者：

Zhang, Ji-Shi ^{[1
,2
]}

Wang, Yan-Wu ^{[1
,2
,3
]}

Xiao, Jiang-Wen ^{[1
,2
]}

Shen, Yan-Jun ^{[3
]}

机构：

[1] Huazhong Univ Sci & Technol, Dept Control Sci & Engn, Wuhan 430074, Peoples R China

[2] Minist China, Key Lab Image Proc & Intelligent Control Educ, Wuhan, Peoples R China

[3] China Three Gorges Univ, Coll Elect Engn & New Energy, Yichang, Peoples R China

来源：

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2014年 / 45卷 / 12期

基金：

中国国家自然科学基金;

关键词：

switched positive linear system; multiple linear copositive Lyapunov function; exponential stability; average dwell time; COPOSITIVE LYAPUNOV FUNCTIONS; STABILIZATION;

D O I：

10.1080/00207721.2013.770938

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper addresses the stability problem of switched positive linear systems with stable and unstable subsystems. Based on a multiple linear copositive Lyapunov function, and by using the average dwell time approach, some sufficient stability criteria of global uniform exponential stability are established in both the continuous-time and the discrete-time cases, respectively. Finally, some numerical examples are given to show the effectiveness of the proposed results.

引用

页码：2458 / 2465

页数：8

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