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两个离散网络间的广义同步
引用本文:陈星星,孙伟刚,李常品.两个离散网络间的广义同步[J].应用数学与计算数学学报,2010,24(2):112-118.
作者姓名:陈星星  孙伟刚  李常品
作者单位:[1]上海大学数学系,上海200444 [2]华东理工大学认知神经动力学研究所,上海200237 [3]杭州电子科技大学理学院,杭州310018
摘    要:本文研究了两个离散网络之间的广义同步,其中每个网络的节点动力学是不同的,节点数目也没有要求是相等的.通过使用辅助系统方法,我们给出了基于李雅普诺夫稳定性理论的广义同步定理.最后,用数值例子来验证定理的有效性.

关 键 词:离散网络  广义同步  李雅普诺夫稳定性  辅助系统

Generalized Synchronization Between Two Discrete-Time Networks
Chen Xingxing,Sun Weigang,Li Changpin.Generalized Synchronization Between Two Discrete-Time Networks[J].Communication on Applied Mathematics and Computation,2010,24(2):112-118.
Authors:Chen Xingxing  Sun Weigang  Li Changpin
Institution:Chen Xingxing Sun Weigang Li Changpin Department of Mathematics,Shanghai University,Shanghai 200444, China Institute for Cognitive Neurodynamics,School of Information Science and Engineering,East China University of Science and Technology,Shanghai 200237, China The School of Science,Hangzhou Dianzi University,Hangzhou 310018,China.
Abstract:In this paper,we study the generalized synchronization(GS) between two coupled discrete-time networks,where the dynamics of nodes in different network is different, and the numbers of both networks are not necessarily same.By using the auxiliary system method,a sufficient condition for GS is derived based on the Lyapunov stability theory.At last,numerical examples are presented which fit the theoretical analysis.
Keywords:discrete-time network  generalized synchronization  Lyapunov stability  auxiliary system
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