Chaotic synchronization for a general complex networks with coupling delay based on pinning control

On the basis of Lyapunov stability theory, this paper is concerned with the problem of pinning synchronization for a general complex networks with coupling delay. Firstly, we designed a controller to keep the system synchronized, the results which we obtain have mild constraint conditions, and the number of nodes which we need to control can be easily computed. Furthermore, applying the same theory, an adaptive pinning control scheme is developed to achieve synchronization of this general complex networks. Finally, simulation examples are given to verify the obtained theoretical analysis.