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论文类型： 期刊论文

发表时间： 2018-03-01

发表刊物： TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL

收录刊物： SCIE、EI

卷号： 40

期号： 5

页面范围： 1425-1434

ISSN号： 0142-3312

关键字： Switched systems; multiple Lyapunov function; stability; average dwell time

摘要： The problem of stability for switched systems with extended average dwell time (ADT) is investigated in both the continuous-time and discrete-time cases. By proposing three novel concepts of closed-chain, r-open-chain, and quasi-cyclic switching signals, stability and stabilization conditions of switched systems with ADT or mode-dependent ADT (MDADT) switching are obtained. This paper develops and enriches the existing results on stability under constrained switching, since the existing results based on both ADT and MDADT can be seen as the special cases of ours. On the other hand, the paper provides a solution to the open problem of how to obtain a tighter bound on ADT or MDADT. Finally, some comparisons between the existing results and ours show the superiority of the theoretical findings of this paper.