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

Alexandre Seuret 1 Frédéric Gouaisbaut 1 
1 LAAS-MAC - Équipe Méthodes et Algorithmes en Commande
LAAS - Laboratoire d'analyse et d'architecture des systèmes
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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https://hal.laas.fr/hal-02346517
Contributor : Alexandre Seuret Connect in order to contact the contributor
Submitted on : Tuesday, November 5, 2019 - 9:28:21 AM
Last modification on : Monday, July 4, 2022 - 9:37:39 AM

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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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