Synchronization of Complex Dynamical Networks on Time Scales via Intermittent Dynamic Event-Triggered Control

In this article, exponential synchronization of complex dynamical networks (CDNs) on time scales is researched. An intermittent dynamic event-triggered control strategy is designed to decrease the number of the event-triggered updating instants. Leveraging intermittent event detections and event-triggered sampling, and combining the analytical method with the time-scale theory, synchronization criteria are obtained for the underlying CDNs. Moreover, a parameter selection algorithm is given to acquire control parameters. In addition, two lemmas on exponential functions of time scales are proposed to prove the exclusion of Zeno behavior. Two numerical simulations and an application of formation control of spacecrafts are given to verify the validity of theoretical results.