LOCAL AND GLOBAL EXPONENTIAL SYNCHRONIZATION OF COMPLEX DELAYED DYNAMICAL NETWORKS WITH GENERAL TOPOLOGY

被引：20
|
作者：
Wang, Jin-Liang [1 ]
Yang, Zhi-Chun [2 ]
Huang, Tingwen [3 ]
Xiao, Mingqing [4 ]
机构：
[1] Beihang Univ, Natl Key Lab Sci & Technol Holist Control, Sch Automat Sci & Elect Engn, Beijing 100191, Peoples R China
[2] Chongqing Normal Univ, Coll Math Sci, Chongqing 400047, Peoples R China
[3] Texas A&M Univ Qatar, Dept Math & Sci, Doha, Qatar
[4] So Illinois Univ, Dept Math, Carbondale, IL 62901 USA
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2011年 / 16卷 / 01期
基金：
中国国家自然科学基金; 美国国家科学基金会;
关键词：
Complex networks; time-varying delays; exponential synchronization; NEURAL-NETWORKS; TIME-DELAY; IDENTIFICATION; STABILITY; MODEL;
D O I：
10.3934/dcdsb.2011.16.393
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider a generalized complex network possessing general topology, in which the coupling may be nonlinear, time-varying, nonsymmetric and the elements of each node have different time-varying delays. Some criteria on local and global exponential synchronization are derived in form of linear matrix inequalities (LMIs) for the complex network by constructing suitable Lyapunov functionals. Our results show that the obtained sufficient conditions are less conservative than ones in previous publications. Finally, two numerical examples and their simulation results are given to illustrate the effectiveness of the derived results.
引用
收藏
页码：393 / 408
页数：16
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