Stability Analysis of Switched Systems with Time-Varying Discontinuous Delays * - Archive ouverte HAL Access content directly
Journal Articles SIAM Journal on Control and Optimization Year : 2018

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

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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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Dates and versions

hal-01849046 , version 1 (25-07-2018)

Identifiers

  • HAL Id : hal-01849046 , version 1

Cite

Frédéric Mazenc, Michael Malisoff, Hitay Ozbay. Stability Analysis of Switched Systems with Time-Varying Discontinuous Delays *. SIAM Journal on Control and Optimization, 2018. ⟨hal-01849046⟩
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