Passivity and stability of switched systems: A multiple storage function method

被引：151
作者：
Zhao, Jun [1 ,2 ]
Hill, David J. [2 ]
机构：
[1] Northeastern Univ, Key Lab Integrated Automat Proc Ind, Minist Educ, Sch Informat Sci & Engn, Shenyang 110004, Peoples R China
[2] Australian Natl Univ, Res Sch Informat Sci & Engn, Dept Informat Engn, Canberra, ACT 0200, Australia
来源：
SYSTEMS & CONTROL LETTERS | 2008年 / 57卷 / 02期
基金：
中国国家自然科学基金; 澳大利亚研究理事会;
关键词：
switched systems; passivity; storage functions; stability;
D O I：
10.1016/j.sysconle.2007.08.011
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 presents a concept of passivity for switched systems using multiple storage functions. This passivity property is invariant under compatible feedback interconnection. Branicky's stability theorem of multiple Lyapunov functions is generalized by relaxing the non-increasing condition on values of Lyapunov-like functions. Using this result we show that a passive switched system is stable in the sense of Lyapunov. Moreover, asymptotic stability is reached if all subsystems are asymptotically detectable. (C) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码：158 / 164
页数：7
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