摘要：AbstractThe 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 classical damping term: the first order time derivative of the solution, distributed in the whole domain. In a continuous framework, such a feedback leads to the global exponential stability of the closed-loop system. Here, sufficient conditions based on the use of a suitable Lyapunov functional are proposed to guarantee that an event-triggered distributed damping ensures the exponential stability. Moreover, the designed event-triggering mechanism allows avoiding the Zeno behavior. The ‘existence and regularity’ prerequisite properties of solutions for the closed loop system are also proven.
