Adaptive Synchronization of Complex Networks with Time-Varying Delay Nodes and Delay Coupling

A novel adaptive synchronization scheme for complex network with time-varying delay and delay coupling is proposed in this paper. Based on Lyapunov stability theory, a linear adaptive controller is designed which can be used in the future practical engineering. Sufficient experimental results on the network synchronization are given to ensure that the dynamic network can synchronize the individual node state in any specified networks. Finally, numerical simulations show the good performance of this proposed scheme.