基于复杂网络模型的同步分析及控制

Synchronization analysis and control based on complex network models

针对一致连结的复杂网络模型,通过构建Lyapunov函数,给出该类网络模型实现同步的一个判定准则.在此基础上,对该网络模型引入自适应反馈控制策略,并证明了此类网络在该控制作用下总可以动态地实现同步.特别地,该控制策略对节点间的耦合强度和网络的拓扑结构等具有较强的鲁棒性.数值仿真结果表明了该控制策略的有效性.

For a uniform complex network, a synchronization criterion of this model is given by constructing a Lyapunov function. And an adaptive feedback control scheme is introduced to the network model. It is proved that this network can achieve synchronization dynamically under the adaptive control scheme. Particularly, this controller has strong robustness against the coupling strength and topological structure of the network. Numerical simulations show the effectiveness of the control scheme.