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
Chapitre D'ouvrage Année : 2019

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

Alexandre Seuret
Équipe Méthodes et Algorithmes en Commande
Frédéric Gouaisbaut
Équipe Méthodes et Algorithmes en Commande
CV

Résumé

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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Automatique / Robotique

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https://laas.hal.science/hal-02346517

Soumis le : mardi 5 novembre 2019-09:28:21

Dernière modification le : lundi 20 novembre 2023-11:44:22

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Dates et versions

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

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Citer

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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