Dual-Event-Driven Synchronization Control for Discrete-Time Complex Dynamical Networks

This study investigates the synchronization control of discrete-time complex dynamical networks (CDNs) under discontinuous network communication. A dual-event-driven control scheme is proposed based on periodic detection, which combines a centralized event-driven intermittent mechanism and a decentralized event-driven mechanism. The centralized event-driven intermittent mechanism is utilized to determine the working/rest time of controller, which realizes fine control of the working/rest intervals by responding quickly to system states. Furthermore, the decentralized event-driven mechanism is employed to decide whether the control signal is updated. Compared with existing results, this scheme eliminates the constraints and assumptions related to the interval length, avoids the successive measurements of signal, and reduces the frequency of controller updates. In addition, the piecewise Lyapunov function is constructed for flexible adjustment of the sampling period. Sufficient criteria for realizing discrete-time CDNs synchronization are derived under the proposed control scheme. Finally, several simulation examples are given to verify the validity of the obtained results.