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.
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https://hal.laas.fr/hal-01968409
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Submitted on : Wednesday, January 2, 2019 - 4:52:49 PM
Last modification on : Friday, June 14, 2019 - 6:31:22 PM
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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. 2019. ⟨hal-01968409⟩

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