Lucie Baudouin, Swann Marx, Sophie Tarbouriech
Published 2019-01-04Version 1
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.
Event-triggering mechanism to damp the linear wave equation
The regularity and exponential decay of solution for a linear wave equation associated with two-point boundary conditions
On diffusion phenomena for the linear wave equation with space-dependent damping
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