文献类型：期刊文献

英文题名：Exponential Synchronization of Hybrid Coupled Networks With Delayed Coupling

作者：He, Wangli[1];Cao, Jinde[2]

机构：[1]E China Univ Sci & Technol, Sch Informat Sci & Engn, Minist Educ, Key Lab Adv Control & Optimizat Chem Proc, Shanghai 200237, Peoples R China;[2]Southeast Univ, Dept Math, Nanjing 210096, Peoples R China

年份：2010

卷号：21

期号：4

起止页码：571

外文期刊名：IEEE TRANSACTIONS ON NEURAL NETWORKS

收录：;EI(收录号：20101612853436);WOS:【SCI-EXPANDED(收录号:WOS:000276257000003)】；

基金：This work was supported by the National Natural Science Foundation of China under Grant 60874088, the Specialized Research Fund for the Doctoral Program of Higher Education under Grant 20070286003, the Natural Science Foundation of Jiangsu Province of China under Grant BK2009271 and the Foundation for Excellent Doctoral Dissertation of Southeast University YBJJ0806.

语种：英文

外文关键词：Complex networks; delayed coupling; exponential synchronization; hybrid coupled networks

摘要：This paper investigates exponential synchronization of coupled networks with hybrid coupling, which is composed of constant coupling and discrete-delay coupling. There is only one transmittal delay in the delayed coupling. The fact is that in the signal transmission process, the time delay affects only the variable that is being transmitted from one system to another, then it makes sense to assume that there is only one single delay contributing to the dynamics. Some sufficient conditions for synchronization are derived based on Lyapunov functional and linear matrix inequality (LMI). In particular, the coupling matrix may be asymmetric or nondiagonal. Moreover, the transmittal delay can be different from the one in the isolated system. A distinctive feature of this work is that the synchronized state will vary in comparison with the conventional synchronized solution. Especially, the degree of the nodes and the inner delayed coupling matrix heavily influence the synchronized state. Finally, a chaotic neural network is used as the node in two regular networks to show the effectiveness of the proposed criteria.