Event triggered control and exponential stability for infinite dimensional linear systems $\star$
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866912527354429440 |
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| author | Baudouin, Lucie Ervedoza, Sylvain |
| author_facet | Baudouin, Lucie Ervedoza, Sylvain |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_06144 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Event triggered control and exponential stability for infinite dimensional linear systems $\star$ Baudouin, Lucie Ervedoza, Sylvain Analysis of PDEs 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. |
| title | Event triggered control and exponential stability for infinite dimensional linear systems $\star$ |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2508.06144 |