Exponential stability of synchronization in asymmetrically coupled dynamical networks

被引：15
|
作者：
Li, Zhi [1 ,2 ]
机构：
[1] Xidian Univ, Dept Automat Control Engn, Xian 710071, Peoples R China
[2] Xidian Univ, Ctr Complex Syst, Xian 710071, Peoples R China
来源：
CHAOS | 2008年 / 18卷 / 02期
基金：
中国国家自然科学基金;
关键词：
D O I：
10.1063/1.2931332
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Based on the original definition of the synchronization stability, a general framework is presented for investigating the exponential stability of synchronization in asymmetrically coupled networks. By choosing an appropriate Lyapunov function, we prove that the mechanism of the exponential synchronization stability is the asymmetrical coupling matrix with diffusive condition. We deduce the second largest eigenvalue of a symmetric matrix to govern the exponential stability of synchronization in asymmetrically coupled networks. Moreover, we have given the threshold value which can guarantee that the states of the asymmetrically coupled network achieve the exponential stability of synchronization. (C) 2008 American Institute of Physics.
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页数：11
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