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Communication Dans Un Congrès Année : 2022

Dynamic event-triggered stabilization for the Schrödinger equation

Sophie Tarbouriech

Résumé

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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Dates et versions

hal-03749743 , version 1 (11-08-2022)

Identifiants

  • HAL Id : hal-03749743 , version 1

Citer

Florent Koudohode, Lucie Baudouin, Sophie Tarbouriech. Dynamic event-triggered stabilization for the Schrödinger equation. Joint 8th IFAC Symp. on System Structure and Control, 17th IFAC Workshop on Time Delay Systems, 5th IFAC Workshop on Linear Parameter Varying Systems, Montreal, Canada (September 2022)., Sep 2022, Montreal, Canada. ⟨hal-03749743⟩
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