Dwell-time computation for stability of switched systems with time delays

S.Y. Caliskan 1 Hitay Ozbay 2 Silviu-Iulian Niculescu 3
3 DISCO - Dynamical Interconnected Systems in COmplex Environments
L2S - Laboratoire des signaux et systèmes, Inria Saclay - Ile de France, SUPELEC, CNRS - Centre National de la Recherche Scientifique : UMR8506
Abstract : The aim of this study is to find an improved dwell time that guarantees the stability of switched systems with heterogeneous constant time-delays. Piecewise Lyapunov-Krasovkii functionals are used for each candidate system to investigate the stability of the switched time-delayed system. Under the assumption that each candidate system is stable for small delay values, a sufficient condition for dwell-time that guarantees the asymptotic stability is derived. Numerical examples are given to compare the results with the previously obtained dwell-time bounds.
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S.Y. Caliskan, Hitay Ozbay, Silviu-Iulian Niculescu. Dwell-time computation for stability of switched systems with time delays. IET Control Theory and Applications, Institution of Engineering and Technology, 2013, 7 (10), pp.1422-1428. ⟨10.1049/iet-cta.2011.0749⟩. ⟨hal-00935511⟩



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