Stability of Nonlinear Impulsive Systems Under Hybrid Event-Triggered Control

This paper investigates the stability of nonlinear delayed impulsive systems by hybrid event-triggered control. Firstly, by integrating event-triggered control with impulsive control, a novel hybrid event-triggered mechanism is designed, and the Zeno behavior is excluded by means of the method of classification discussion. Secondly, based on the proposed hybrid event-triggered control scheme, quantitative relationships among impulsive gains, event-triggering parameters, and exponential convergence rates are established, which rigorously guarantee system stability. Finally, the effectiveness of the theoretical findings is verified through a numerical example.