Master-slave synchronization of Lurie systems with time-delay based on event-triggered control

This paper investigates the master-slave synchronization of Lurie systems with time delay via the event-triggered control. Different from some state feedback control methods with a fixed sampling period or impulsive control with random sampling moments, the event-triggered control means that the controller is updated only if some event-triggering conditions are satisfied. A predefined triggering condition is provided by using the Lyapunov stability theory. Moreover, this condition is proved not to be commonplace. Finally, a numerical example is given to show the correctness of the proposed method.