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

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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https://hal.inria.fr/hal-01849046
Contributor : Frederic Mazenc <>
Submitted on : Wednesday, July 25, 2018 - 2:18:59 PM
Last modification on : Monday, January 4, 2021 - 2:46:03 PM
Long-term archiving on: : Friday, October 26, 2018 - 2:34:39 PM

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  • HAL Id : hal-01849046, version 1

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Frédéric Mazenc, Michael Malisoff, Hitay 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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