Adaptive synchronization for nonlinear coupled complex network with nonidentical nodes

This paper investigates the synchronization of nonlinear coupled complex networks with non-identical nodes. Using tools from matrix, graph and Lyapunov stability theories, sufficient condition for nonlinear coupled complex networks with nonidentical nodes is obtained under an adaptive control protocol. We also design a distributed adaptive strategy on the strengths, which can guarantee that the synchronization condition doesn't require any global information except a connection assumption. Finally numerical simulations are presented to illustrate the theoretical findings.