Event-triggered damping stabilization of a linear wave equation
Analysis of PDEs
2019-01-07 v1
Abstract
The paper addresses the design of an event-triggering mechanism for a partial differential wave equation posed in a bounded domain. The wave equation is supposed to be controlled through a first order time derivative term distributed in the whole domain. Sufficient conditions based on the use of suitable Lyapunov functional are proposed to guarantee that an event-triggered distributed control still ensures the exponential stability of the closed-loop system. Moreover, the designed event-triggering mechanism allows to avoid the Zeno behavior. The 'existence and regularity' prerequisite properties of solutions for the closed loop system are also proven.
Cite
@article{arxiv.1901.01009,
title = {Event-triggered damping stabilization of a linear wave equation},
author = {Lucie Baudouin and Swann Marx and Sophie Tarbouriech},
journal= {arXiv preprint arXiv:1901.01009},
year = {2019}
}