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Wirtinger-based Exponential Stability for Time-Delay Systems

Matthieu Barreau 1 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 paper deals with the exponential stabilization of a time-delay system with an average of the state as the output. A general stability theorem with a guaranteed exponential decay-rate based on a Wirtinger-based inequality is provided. Variations of this theorem for synthesis of a controller or for an observer-based control is derived. Some numerical comparisons are proposed with existing theorems of the literature and comparable results are obtained but with an extension to stabilization.
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https://hal.laas.fr/hal-01488920
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Submitted on : Monday, November 20, 2017 - 4:36:36 PM
Last modification on : Monday, July 4, 2022 - 10:28:39 AM
Long-term archiving on: : Wednesday, February 21, 2018 - 3:26:25 PM

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Matthieu Barreau, Alexandre Seuret, Frédéric Gouaisbaut. Wirtinger-based Exponential Stability for Time-Delay Systems. 2017 IFAC World Congress, Jul 2017, Toulouse, France. pp.11984-11989, ⟨10.1016/j.ifacol.2017.08.1890⟩. ⟨hal-01488920v6⟩

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