两个相互耦合网络的同步分析  

Synchronization Analysis Between Two Networks with Mutual Connections

作　　者：孙玉[1] 孙伟刚[1] 李常品[1] 

机构地区：[1]上海大学数学系,上海200444

出　　处：《应用数学与计算数学学报》2010年第2期49-54,共6页Communication on Applied Mathematics and Computation

基　　金：国家自然科学基金资助项目(No.10872119)

摘　　要：本文旨在研究具有相互作用的两个网络间的同步及其控制问题.若各自网络的耦合矩阵在两个网络的连接矩阵的作用下使网络达到外部同步,则控制器消失;反之,则设计一个控制器,使两个网络达到同步.利用Lyapunov稳定性理论我们给出了同步条件,最后通过简单的数值算例来阐述得到的理论结果,包括网络具有相同和不相同的拓扑结构两种情形.In this paper,we study outer synchronization and its control between two coupled networks with inter-network actions.If synchronization happens with appropriate coupling matrices and connecting actions,the controllers disappears.While we should design the controllers to realize the synchronization.Explicit synchronous conditions are derived by using Lyapunov stability theory.Finally numerical examples are given to show the efficiency of our derived results,including same and different topological structures.

关 键 词：复杂网络 拓扑结构 同步 

分 类 号：O157.5[理学—数学]