Dynamic event-triggered approach for cluster synchronization of complex dynamical networks with switching via pinning control

Abstract

This paper focuses on the cluster synchronization problem for complex dynamical networks with switching signal which is characterized by average dwell-time constraint. To reduce networks burden, a dynamic event-triggered mechanism and pinning control strategy is firstly introduced to the design of cluster synchronization controllers for a class of switched complex networks. By constructing piecewise continuous Lyapunov functions and utilizing stability analysis methods, the cluster synchronization conditions are proposed under which the synchronization error dynamics with the dynamic event-triggered rule is stable. Finally, one numerical example is presented to show the effectiveness of the theoretical results.