Distributed periodic event-triggered synchronization for discrete-time complex dynamical networks with time-varying delay

In this paper, we study the synchronization control problem for a class of discrete-time complex dynamical networks (CDNs) under an event-triggered mechanism (ETM). First, distributed periodic ETM is developed based on communication measurement. Under mechanism, signal sampled in manner, but whether updated or not depends pre-designed triggering condition. The sampling designed as measurement calculated by both state feedback and inner among nodes. Compared with existing ETMs, method considers topology connection network nodes avoids continuous signals. Therefore, effectively saves resources reduces waste computing resources. Second, order to analyze serrated constraint caused error, piecewise Lyapunov function constructed. Third, ETM, sufficient conditions are derived bounded CDNs time-varying delay. Finally, simulation example verifies effectiveness accuracy conclusion.