Impulsive Synchronization of linear complex dynamical networks with time delay on time scales

Abstract

In this paper, we investigate the impulsive synchronization of linear complex dynamical networks(CDNs) with time delay on time scales by a method of pinning impulsive control. We use the time scales theory and the Lyapunov method to derive a synchronization criterion. We find that we can achieve the synchronization of CDNs through only controlling a small number of nodes and the modeling framework here can enrich the models of continous/discrete-time CDNs. In the end, we give some numerical simulations to demonstrate the feasibility of the theoretical analysis.