Disconnected Synchronized Regions of Complex Dynamical Networks

被引：59

作者：

Duan, Zhisheng ^{[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：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2009年 / 54卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Matrix pencil; network synchronization; synchronized region; ROBUST H-2; STABILITY;

D O I：

10.1109/TAC.2008.2009690

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This technical note addresses the synchronized region problem, which is converted to a more convenient matrix stability problem, for complex dynamical networks. For any natural number n, the existence of a network with n disconnected synchronized regions is theoretically proved and numerically demonstrated. This shows the intrinsic complexity of the network synchronization problem. Convexity characteristic of stability for relevant matrix pencils is further discussed. A smooth Chua's circuit network is finally discussed as an example for illustration.

引用

页码：845 / 849

页数：5

共 27 条

[1]

[Anonymous], 1996, Frequency-Domain Methods for Nonlinear Analysis

[2]

[Anonymous], 2002, Synchronization in coupled chaotic circuits and systems

[3] Synchronization in small-world systems [J].