Cluster lag synchronization of complex networks with nonidentical dynamical nodes via Adaptive control

摘要

In this paper, synchronization analysis is investigated for an complex networks with time delay. It is assumed the nodes in the network to be nonidentical. In order to achieve cluster synchronization, this paper uses an adaptive controller on each node, by utilizing the Lyapunov stability theory, a new and useful synchronization criteria are obtained, which guarantee the complex networks under control could realize the cluster lag synchronization. Finally, numerical simulation results are also presented to verify the effectiveness of the proposed synchronization scheme.