Cluster synchronization of stochastic perturbed complex networks with time-varying delays
Yi Zhao, Jianwen Feng, Jingyi Wang · 2013
In this paper, we investigate the cluster synchronization problem for stochastic complex networks with time-varying delays by using pinning control. By utilizing the Lyapunov stability theory, stochastic analysis theory as well as linear matrix inequalities (LMI), the sufficient conditions for cluster synchronization for any initial values are derived to guarantee the synchronization. Some numerical examples are then given to illustrate the theoretical results.