Pinning control of complex dynamical networks with heterogeneous delays

被引：39

作者：

Xiang, Linying ^{[1
]}

Chen, Zengqiang ^{[1
]}

Liu, Zhongxin ^{[1
]}

Chen, Fei ^{[1
]}

Yuan, Zhuzhi ^{[1
]}

机构：

[1] Nankai Univ, Dept Automat, Tianjin 300071, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2008年 / 56卷 / 05期

基金：

高等学校博士学科点专项科研基金; 中国国家自然科学基金;

关键词：

complex dynamical network; heterogeneous delay; linear matrix inequality; pinning control; scale-free;

D O I：

10.1016/j.camwa.2008.03.022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Complex dynamical networks with heterogeneous delays in both continuous- and discrete-time domains are controlled by applying local feedback injections to a small fraction of nodes in the whole network. Some generic stability criteria ensuring delay-independent stability are derived for such controlled networks in terms of linear matrix inequalities (LMI), which guarantee that by placing a small number of feedback controllers on some nodes, the whole network can be pinned to its equilibrium. In some particular cases, a single controller can achieve the control objective. Numerical simulations of various representative networks, including a globally coupled network, a star-coupled network and an Extended Barabasi-Albert (EBA) scale-free network, are finally given for illustration and verification. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：1423 / 1433

页数：11

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