A novel adaptive event-triggering scheme for network descriptor systems with time-delay

This article is concerned with the problem of the event-triggeredH(infinity)control for network descriptor systems with time-delay under a novel adaptive event-triggering scheme. First, to save more limited communication resource, a novel adaptive event-triggering scheme is introduced to adaptively adjust the communication threshold. Second, by considering the network-induced delay, the system's time-varying delay, and the transmission scheme, a delay system method is used to build a novel time-varying delay system model. Based on this model and Lyapunov function technology, sufficient stability conditions with theH(infinity)disturbance performance to verdict admissible and stabilization conditions to codesign the controller gain are obtained in terms of linear matrix inequalities. Then, an event-triggeredH(infinity)controller is proposed to stabilize descriptor systems with time-delay. Finally, a numerical simulation example and a comparing example are employed to illustrate the effectiveness and the advantageous performances of the proposed adaptive event-triggering scheme.