Event-triggered Control for Discrete-time Switched Systems under Multi-asynchronous Switching with Mode-dependent Average Dwell Time

This paper investigates the stabilization problems of based on event-triggered scheme for discrete-time switched systems under multi-asynchronous switching. As for multi-asynchronous switching, relative to the system, that is the event-triggered scheme and controller both have independent switching delays. The activation instants of the system, event-triggered scheme and the controller are interlaced with the data updating instants of the actuator, using the Lyapunov function and the mode-dependent average dwell time technique to establish the sufficient conditions for the common existence of the event-triggered scheme and controller through the linear matrix inequality. Finally, a numerical example is given to illustrate the feasibility of the results.