Event-triggered damping stabilization of a linear wave equation

Lucie Baudouin 1 Swann Marx 1 Sophie Tarbouriech 1
1 LAAS-MAC - Équipe Méthodes et Algorithmes en Commande
LAAS - Laboratoire d'analyse et d'architecture des systèmes [Toulouse]
Abstract : The paper addresses the design of an event-triggering mechanism for a partial differential wave equation posed in a bounded domain. The wave equation is supposed to be controlled through a first order time derivative term distributed in the whole domain. Sufficient conditions based on the use of suitable Lyapunov functional are proposed to guarantee that an event-triggered distributed control still ensures the exponential stability of the closed-loop system. Moreover, the designed event-triggering mechanism allows to avoid the Zeno behavior. The 'existence and regularity' prerequisite properties of solutions for the closed loop system are also proven.
Type de document :
Pré-publication, Document de travail
Rapport LAAS n° 19006. 2019
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https://hal.laas.fr/hal-01968409
Contributeur : Swann Marx <>
Soumis le : mercredi 2 janvier 2019 - 16:52:49
Dernière modification le : mardi 22 janvier 2019 - 10:55:47

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event-triggered-wave-Final.pdf
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  • HAL Id : hal-01968409, version 1
  • ARXIV : 1901.01009

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Lucie Baudouin, Swann Marx, Sophie Tarbouriech. Event-triggered damping stabilization of a linear wave equation. Rapport LAAS n° 19006. 2019. 〈hal-01968409〉

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