Stability Analysis of Switched Systems with Time-Varying Discontinuous Delays

Frédéric Mazenc 1 Michael Malisoff 2 Hitay Ozbay 3
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 to ensure global asymptotic stability for nonlinear switched time-varying systems with time-varying discontinuous delays. It uses an adaptation of Halanay's inequality to switched systems and a recent trajectory based technique. The result is applied to a family of linear time-varying systems with time-varying delays.
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Frédéric Mazenc, Michael Malisoff, Hitay Ozbay. Stability Analysis of Switched Systems with Time-Varying Discontinuous Delays. IEEE American Control Conference (ACC) 2017, May 2017, Seattle, United States. pp.1-5, ⟨10.23919/ACC.2017.7963758 ⟩. ⟨hal-01660128⟩

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