Event-based Exponential Synchronization of Delayed Complex Dynamical Networks via Intermittent Control with Actuator Saturation

This paper investigates the event-based aperiodically intermittent synchronization of complex dynamical networks subject to actuator saturation. The event-triggered condition is essentially a switching between the aperiodic controlling and event trigger. In this way, aperiodically intermittent control is more reasonable and applicable than traditional periodically intermittent control. Based on the event-triggered mechanism, several sufficient conditions that ensure the exponential synchronization of the complex dynamical networks are formulated by employing the generalized sector condition, Lyapunov-Krasovskii functionals, the properties of time-delay, and some linear matrix inequalities. Meanwhile, the optimization problem is presented so as to obtain a maximized estimate of the domain of attraction. Finally, two simulation examples are employed to demonstrate the validity and applicability of the criteria.