Strictly (Q,S,R)-dissipativity and exponential stability for switched systems with a dynamic event-triggered mechanism

Abstract

In order to enhance system efficiency and adaptability, this study investigates switched nonlinear systems with time-varying delay via a novel dynamic event-triggering mechanism incorporating a state-dependent threshold. With the goal to achieve strictly $(Q,S,R)$-dissipativity and exponential stability, a minimum LKF switching rule and a combination of multiple Lyapunov function approaches are adopted. The LKF contains not only the information of states and their derivatives, but also the related single integral and double integral information. Besides, to decouple coupling terms in the controller gain matrix, a more simple method is employed by introduced an additional external matrix, rather than the left–right multiplication approach used in the traditional way. Lastly, the numerical examples verify the efficacy of the suggested approaches.