Research On Adaptive Synchronization Of Complex Network Groups

1. In this section, we analyze adaptive synchronization of complex dynamical networks with constant time delays. We present detailed analysis to the case of only a part of neighboring nodes with time delays, while others without time delays. By using adaptive strategies to both coupling strengths and feedback gains. Based on the Lyapunov stability theory, we prove that all nodes of the network can realize synchronization when the network is connected and all the nodes are informed by the adaptive controllers. Some simulations illustrate our theoretical results. The research of this part laid the foundation for the next step of complex network grouping model.2. This section has proposed a new group synchronization protocol for complex networks with nonlinear dynamical and information interaction among different groups. By constructing an effective Lyapunov function, we have proved that all nodes in each group can converge to its own synchronous state respectively. Finally, some simulations are presented to illustrate our theoretical results.3. Based on the second part of the study, added periodically intermittent control of complex network model, and design a make the complex network can index periodically intermittent feedback control, by constructing a Lyapunov function, obtained by periodically intermittent control complex network group reached their synchronous condition.