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发布时间：2020-02-17

论文类型：期刊论文

发表时间：2020-01-25

发表刊物：INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL

收录刊物：SCIE、EI

卷号：30

期号：2

页面范围：567-586

ISSN号：1049-8923

关键字：multiple discontinuous Lyapunov functions; slow/fast mode-dependent average dwell time; stability; switched system; l(2)-gain

摘要：This paper addresses stability and l(2)-gain for discrete-time switched systems with unstable modes based on slow/fast mode-dependent average dwell time (MDADT) switching strategies. Firstly, by employing a class of multiple discontinuous Lyapunov functions (MDLFs) and developing a kind of alternative switching signals, the sufficient conditions on stability are established for the system without external disturbances under a slow/fast MDADT switching scheme with a tighter bounds on the dwell time. Furthermore, by defining indicator functions and exploring the features of slow/fast MDADT switching, the weighted l(2)-gain conditions are achieved for the system with external disturbances. Particularly, the criteria of stability and l(2)-gain are also established for the corresponding discrete-time switched linear systemswith unstable modes via the MDLFs method and the slow/fast MDADT switching strategy. Finally, two numerical examples are presented to illustrate the advantages of the proposed methods.