Abstract
The event-triggered transmission strategies in [21, 80] require continuous monitoring of the inequality conditions, and the Zeno phenomenon is precluded by showing that there is a lower bound between two consecutive transmissions. Differently, the periodic event-triggered transmission [27, 28, 86, 107] does not need to monitor the triggering condition continuously, but checks the triggering condition at discrete times. In [28, 107], periodic event-triggered transmission strategies are proposed for linear systems, where the detecting actions are taken periodically. In [86], the idea of a periodic event-triggered transmission strategy is extended to nonlinear systems and the closed-loop networked control system is modeled as a hybrid system. Stability conditions are derived by constructing a Lyapunov function where the timer variable and logic variable are considered part of the system state.
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