Stability analysis and decentralized control of a class of complex dynamical networks

被引：152

作者：

Duan, Zhisheng ^{[1
]}

Wang, Jinzhi ^{[1
]}

Chen, Guanrong ^{[1
]}

Huang, Lin ^{[1
]}

机构：

[1] Peking Univ, Coll Engn, Dept Mech & Aerosp Engn, State Key Lab Turbulence & Complex Syst, Beijing 100871, Peoples R China

来源：

AUTOMATICA | 2008年 / 44卷 / 04期

基金：

中国国家自然科学基金;

关键词：

dynamical network; decentralized control; large-scale system; Lur'e system; Chua's circuit;

D O I：

10.1016/j.automatica.2007.08.005

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, stability analysis and decentralized control problems are addressed for linear and sector-nonlinear complex dynamical networks. Necessary and sufficient conditions for stability and stabilizability under a special decentralized control strategy are given for linear networks. Especially, two types of linear regular networks, star-shaped networks and globally coupled networks, are studied in detail. A dynamical network is viewed as a large-scale system composing of some subsystems, based on which the relationship between the stability of a network and the stability of its corresponding subsystems is investigated. It is pointed out. that some subsystems must be unstable for the whole network to be stable in some special cases. Moreover, a controller design method based on a parameter-dependent Lyapunov function is provided. Furthermore, interconnected Lur'e systems and symmetrical networks of Lur'e systems are similarly studied. The test of absolute stability of a network of Lur'e systems is separated into the test of absolute stability of several independent Lur'e systems. Finally, several numerical examples are given to illustrate the theoretical results. (c) 2007 Elsevier Ltd. All rights reserved.

引用

页码：1028 / 1035

页数：8

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