EFFECTS OF COUPLING DELAYS ON SYNCHRONIZATION IN LUR'E COMPLEX DYNAMICAL NETWORKS

被引:11
作者
Ding, Ke
Han, Qing-Long [1 ]
机构
[1] Cent Queensland Univ, Ctr Intelligent & Networked Syst, Rockhampton, Qld 4702, Australia
来源
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2010年 / 20卷 / 11期
基金
澳大利亚研究理事会;
关键词
Synchronization; complex dynamical networks; Lur'e systems; coupling delay; MASTER-SLAVE SYNCHRONIZATION; TIME-DELAY; GLOBAL SYNCHRONIZATION; ABSOLUTE STABILITY; DOUBLE SCROLL; SYSTEMS; CRITERIA;
D O I
10.1142/S0218127410027908
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper investigates the effects of coupling delays on synchronization in Lur'e complex dynamical networks. Every identical node in the network can be represented as a Lur'e system. Based on Lyapunov-Krasovskii functionals and Lur'e-Postnikov Lyapunov functionals, some delay-dependant synchronization criteria are derived by employing a delay decomposition approach. A Lur'e complex dynamical network with Chua's circuit nodes and one numerical example are given to illustrate the effectiveness of the synchronization criteria.
引用
收藏
页码:3565 / 3584
页数:20
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