Event-based control of a damped linear Schrödinger equation

Florent Koudohode (1) , Lucie Baudouin (1) , Sophie Tarbouriech (1)

1 LAAS-MAC - Équipe Méthodes et Algorithmes en Commande

This paper presents the design of an eventtriggering mechanism for the damped linear Schrödinger equation. Indomain Constant and localized damping are considered. The absence of any accumulation points of the time updates sequence is proven, ensuring the avoidance of Zeno behavior. The global exponential stability is ensured through some energy estimates exploiting observability inequality. An illustrative example based on the one dimensional Schrödinger equation demonstrates the efficiency of the results.

Mots clés: Schrödinger equation; Event-triggering mechanism; Global exponential stability; Observability inequality

Domaines: Equations aux dérivées partielles [math.AP]

Florent Koudohode, Lucie Baudouin, Sophie Tarbouriech. Event-based control of a damped linear Schrödinger equation. European Control Conference (ECC 2022), Jul 2022, Londres, United Kingdom. ⟨10.23919/ECC55457.2022.9837965⟩. ⟨hal-03421622v2⟩