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论文类型： 期刊论文

发表时间： 2017-07-01

发表刊物： IEEE TRANSACTIONS ON AUTOMATIC CONTROL

收录刊物： SCIE、EI、ESI高被引论文、Scopus

卷号： 62

期号： 7

页面范围： 3502-3509

ISSN号： 0018-9286

关键字： Switched system; mode-dependent average dwell time

摘要： In this technical note, the problem of stability for a class of slowly switched systems is investigated. By developing a novel multiple discontinuous Lyapunov function approach and exploring the feature of mode-dependent dwell time switching, new stability conditions are established for systems with a designed switching strategy where fast switching and slow switching are respectively applied to unstable and stable subsystems. In particular, stability conditions for linear switched systems are also given via choosing multiple discontinuous Lyapunov functions in the quadratic form. Moreover, stability criteria for the systems consisting of stable subsystems are also derived. It is shown that our proposed results cover some existing ones in literature as special cases, and provide tighter bounds on the dwell time. Finally, some simulation results are provided to show the advantages of the theoretic results obtained.