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Indexed by:期刊论文

Date of Publication:2013-08-15

Journal:IET CONTROL THEORY AND APPLICATIONS

Included Journals:SCIE、EI、Scopus

Volume:7

Issue:12

Page Number:1651-1658

ISSN No.:1751-8644

Key Words: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

Abstract: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.