Title of Paper:New Results on Stability of Slowly Switched Systems: A Multiple Discontinuous Lyapunov Function Approach

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Date of Publication:2017-07-01

Journal:IEEE TRANSACTIONS ON AUTOMATIC CONTROL

Included Journals:SCIE、EI、ESI高被引论文、Scopus

Volume:62

Issue:7

Page Number:3502-3509

ISSN No.:0018-9286

Key Words:Switched system; mode-dependent average dwell time

Abstract: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.