带有时滞(向量)函数的复杂动态网络的同步

Synchronization of Complex Dynamical Networks with(Vector) Function of Time Delays

讨论了节点含有两类时变时滞,网络结构完全未知时的不确定动态网络模型的同步问题.其中两类时滞分别为:时滞函数和时滞向量函数.首先给出这两个新模型,然后,基于Lyapunov稳定性理论和局部线性化等知识,设计了复杂网络同步的自适应控制器,给出了一些网络同步的充分条件,并且给出了不确定动态网络的参数估计法.最后,数值结果表明理论分析方法的有效性和可行性.

This paper mainly studies the synchronization of an uncertain complex network with two kinds of time-varying delays.They are respectively time-delaying function and time-delaying vector function.First of all,we introduce two new complex dynamical network models are introduced.Based on Lyapunov stability theory and local linearization,it gives respectively the some sufficient conditions of synchronization on networks.And it also describes the parameters estimation method of uncertain networks.Then it puts forward the design method of a simple synchronic controller.Furthermore,the results of numerical simulations illuminate the validity and feasibility of theory.