Delay-Dependent Reciprocally Convex Combination Lemma for the Stability Analysis of Systems with a Fast-Varying Delay - LAAS - Laboratoire d'Analyse et d'Architecture des Systèmes Access content directly
Book Section Year : 2019

Delay-Dependent Reciprocally Convex Combination Lemma for the Stability Analysis of Systems with a Fast-Varying Delay

Abstract

This chapter deals with the stability analysis of linear systems subject to fast-varying delays. The main result is the derivation of a delay-dependent reciprocally convex lemma allowing a notable reduction of the conservatism of the resulting stability conditions with the introduction of a reasonable number of decision variables. Several examples are studied to show the potential of the proposed method.

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hal-02346517 , version 1 (05-11-2019)

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Alexandre Seuret, Frédéric Gouaisbaut. Delay-Dependent Reciprocally Convex Combination Lemma for the Stability Analysis of Systems with a Fast-Varying Delay. Springer. In: Valmorbida G., Seuret A., Boussaada I., Sipahi R. (eds) Delays and Interconnections: Methodology, Algorithms and Applications. Advances in Delays and Dynamics, vol 10. Springer, , pp.187-197, 2019, 978-3-030-11553-1. ⟨10.1007/978-3-030-11554-8_12⟩. ⟨hal-02346517⟩
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