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Dynamic event-triggered stabilization for the Schrödinger equation

Florent Koudohode 1 Lucie Baudouin 1 Sophie Tarbouriech 
1 LAAS-MAC - Équipe Méthodes et Algorithmes en Commande
LAAS - Laboratoire d'analyse et d'architecture des systèmes
Abstract : The paper presents a dynamic event-triggering mechanism for the constant and the localized damped linear Schrödinger equation. The following results are tackled: the existence of solution to the closed-loop event-triggered control system; the avoidance of the Zeno behavior due to the absence of any accumulation point of the sequence of time instants and the exponential stability based on energy estimate through the observability inequality. A simulation example based on the one-dimensional Schrödinger equation is presented to validate the theoretical results.
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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-03749743
Contributor : Sophie Tarbouriech Connect in order to contact the contributor
Submitted on : Thursday, August 11, 2022 - 12:23:35 PM
Last modification on : Friday, August 19, 2022 - 3:10:16 AM

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  • HAL Id : hal-03749743, version 1

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Florent Koudohode, Lucie Baudouin, Sophie Tarbouriech. Dynamic event-triggered stabilization for the Schrödinger equation. 2022. ⟨hal-03749743⟩

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