Stability Analysis of Switched Systems with Time-Varying Discontinuous Delays *

Frédéric Mazenc 1, 2 Michael Malisoff 3 H Ozbay 4
1 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 : A new technique is proposed for the stability analysis of nonlinear switched time-varying systems with time-varying discontinuous delays. It is based on an adaptation of Halanay's inequality to switched systems, combined with a recent trajectory based stability analysis technique. The result is applied to a family of the linear time-varying systems with time-varying delays. In particular, it is shown that this approach can be used for stabilization of LTV systems with time varying delays by a set of properly designed switched controllers.
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Frédéric Mazenc, Michael Malisoff, H Ozbay. Stability Analysis of Switched Systems with Time-Varying Discontinuous Delays *. SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2018. ⟨hal-01849046⟩

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