Event-triggered control for exponential stabilization of impulsive dynamical systems

Abstract Sufficient conditions characterizing the globally uniformly exponential stabilization of impulsive systems under two event-triggered impulsive control strategies are obtained. For the first strategy, the specific triggering condition is verified continuously, while for the second one that is discretely monitored. The second relied on a positive constant is the discrete-time version of the first one in order to reduce the computational burden. The analysis of the minimum time between two consecutive events for two control strategies is available in this paper. Moreover, the data dropout of impulsive control signals in event triggered condition is studied and the maximal permissible dropout rate is estimated under each strategy. An example and its simulation is given to demonstrate the results.