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论文类型： 期刊论文

发表时间： 2018-07-01

发表刊物： IEEE TRANSACTIONS ON AUTOMATIC CONTROL

收录刊物： SCIE、Scopus

卷号： 63

期号： 7

页面范围： 2184-2190

ISSN号： 0018-9286

关键字： Average dwell time (ADT); multiple linear copositive Lyapunov function (MLCLF); positive systems; switched systems

摘要： In this paper, the problems of stability analysis and delay control for switched positive linear systems (SPLSs) are studied by using average dwell time (ADT) switching. By developing a new class of multiple piecewise-continuous linear copositive Lyapunov function (MPLCLF) approach, an improved stability condition for SPLSs is obtained, which can obtain a tighter bound on the ADT guaranteeing the stability. The obtained stability condition covers the existing results on stability analysis for SPLSs, since the multiple linear copositive Lyapunov function used in the literature can be viewed as a special case of our proposed MPLCLF, and our result can obtain a tighter bound of the ADT. Then, a more efficient controller design method over the existing ones is also established for SPLSs with switching delay to guarantee the underlying system to be exponentially stable. To illustrate the advantages of our proposed results, two numerical examples are finally given.