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发布时间：2019-03-11

论文类型：会议论文

发表时间：2016-05-28

收录刊物：Scopus、SCIE、CPCI-S、EI

页面范围：1035-1040

关键字：switched delay system; discretized multiple Lyapunov functional; input-to-state stability (ISS); integral input-to-state stability (iISS)

摘要：This paper is concerned with the problem of integral input-to-state stability (iISS) for a class of continuous-time switched systems with time-varying delays, whose subsystems can be all unstable. By constructing a discretized multiple Lyapunov functional, the iISS for switched delay systems in nonlinear context is firstly established. Then, a special class of linear systems-bilinear switched delay systems, which can only achieve iISS instead of ISS (input-to-state stability) is considered. By resorting to polytope extremum theory, the system equation is transformed into a polytope equation. Subsequently, by using a linear interpolation formula method, sufficient computable conditions for iISS with dwell time switching are presented. A numerical example is provided to illustrate the effectiveness of our approach.