The influence of global cues and local coupling on the rate of synchronization in the presence of time delays

被引：2

作者：

Wang, Yongqiang ^{[1
]}

Doyle, Francis J., III ^{[1
,2
]}

机构：

[1] Univ Calif Santa Barbara, Inst Collaborat Biotechnol, Santa Barbara, CA 93106 USA

[2] Univ Calif Santa Barbara, Dept Chem Engn, Santa Barbara, CA 93106 USA

来源：

AUTOMATICA | 2013年 / 49卷 / 06期

基金：

美国国家卫生研究院;

关键词：

Synchronization rate; Time delays; Global cue; Local coupling; COMPLEX DYNAMICAL NETWORKS; CONTRACTION ANALYSIS; CONSENSUS PROBLEMS; PINNING CONTROL; STABILITY; SYSTEMS; AGENTS; MODEL;

D O I：

10.1016/j.automatica.2013.02.051

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The influence of global cues and local coupling on the rate of synchronization is analyzed in the presence of delayed interaction. First we give a delay-dependent synchronization condition. Then we prove that a stronger global cue always leads to a faster synchronization rate, even when it is only connected to a small number of nodes and the time delays in different channels are nonidentical. The local coupling is proven to have no influence on the synchronization rate when the global cue affects the whole network uniformly and delays in different channels are identical and small. This points out a way to elucidate complex synchronization properties in, e.g., biological networks. At last, using a published software DDE-BIFTOOL, synchronization rates are numerically calculated in the case study to confirm the theoretical predictions. (C) 2013 Elsevier Ltd. All rights reserved.

引用

页码：1838 / 1845

页数：8

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