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.
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页码：2458 / 2465
页数：8
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