具有时变时滞耦合的两个不同复杂网络的自适应同步

Adaptive synchronization between two different complex networks with time-varying delay coupling

针对两个不同的时变时滞耦合复杂网络,提出一个新的网络同步模型.该模型中的两个网络在节点数目、拓扑结构、内部耦合、耦合时滞及节点动态均可不相同.基于LaSalle不变原理,设计自适应控制器使得两个网络获得同步.进一步研究了具有未知拓扑结构的两个复杂网络的自适应同步问题.数值结果表明了本文方法的有效性.

A network synchronization model was proposed for two different complex networks with time-varying delay coupling. The two networks in the model were different in the number of nodes, topological structure, inner coupling, coupling delay, and node dynamics. Based on Lasalle＇ s invariance principle, an adaptive controller was designed to achieve synchronization between these two networks. When the topological structures of two networks were fully unknown, the adaptive synchronization problem was also discussed. Numerical results were presented to verify the effectiveness of the proposed method.