基于自适应牵制控制的时变时滞复杂网络同步

Synchronization of Complex Networks with Time-varying Delay Based on Adaptive Pinning Control

针对一类节点含时变时滞的复杂网络模型的同步问题,提出一种简单有效的自适应牵制控制方法。设计了一个自适应控制器,对复杂网络的部分节点实施牵制控制;构造适当的Lyapunov函数,给出网络和其孤立节点达到全局指数渐近同步的充分条件;最后通过数值仿真实验验证了文中方法的有效性。

Aiming at the synchronization problem of a class of complex network models with time-varying delays in nodes,a simple and effective adaptive pinning control method is proposed.An adaptive controller is designed to pin control some nodes in complex network.The sufficient conditions for the global exponential asymptotical synchronization of the network and its isolated nodes are given by constructing appropriate Lyapunov functions.Finally,the effectiveness of the method in the paper is verified by numerical simulation experiments.