Pré-Publication, Document De Travail Année : 2025

Event triggered control and exponential stability for infinite dimensional linear systems

Résumé

This article aims at providing a unified analysis of the exponential stabilization of some abstract infinite dimensional systems undergoing an event-triggering mechanism that samples the control input. The partial differential equation is supposed to be defined by a skew-adjoint operator and controlled and observed through bounded operators. The continuously controlled closed loop system is assumed to be exponentially stable and the goal is to prove that a well-designed event-triggering mechanism to rule the time updates of the sampled control will allow to keep such a stability property. The key of the proof relies on the existence of an adequate Lyapunov functional. Existence and regularity of the solution to the closed-loop event-triggered system are also proven, along with the avoidance of Zeno behavior.

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Dates et versions

hal-05202758 , version 1 (07-08-2025)

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  • HAL Id : hal-05202758 , version 1

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Lucie Baudouin, Sylvain Ervedoza. Event triggered control and exponential stability for infinite dimensional linear systems. 2025. ⟨hal-05202758⟩
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