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论文类型：期刊论文

发表时间：2013-08-15

发表刊物：IET CONTROL THEORY AND APPLICATIONS

收录刊物：SCIE、EI、Scopus

卷号：7

期号：12

页面范围：1651-1658

ISSN号：1751-8644

关键字：asymptotic stability; continuous time systems; discrete time systems; linear systems; Lyapunov methods; time-varying systems; switched positive system stability; average dwell-time approach; switched positive linear system; stable subsystems; unstable subsystems; continuous-time domains; exponential stability condition; multiple linear copositive Lyapunov functions; discrete-time domains

摘要：This study is concerned with the problem of exponential stability for a class of switched positive linear systems consisting of both stable and unstable subsystems. The sufficient conditions of exponential stability are established in continuous-time and discrete-time domains. Based on the average dwell-time approach, new stability results for such kind of systems are first derived, which allows the ascent of the multiple linear copositive Lyapunov functions caused by unstable subsystems. Furthermore, when all subsystems are stable, the exponential stability condition for switched positive systems is presented. Finally, numerical examples are given to illustrate the effectiveness of the results.