Exponential synchronization of chaotic neural networks: a matrix measure approach

被引:78
作者
He, Wangli [1 ]
Cao, Jinde [1 ]
机构
[1] Southeast Univ, Dept Math, Nanjing 210096, Peoples R China
基金
中国国家自然科学基金;
关键词
Matrix measure; Neural network; Exponential synchronization; TIME-VARYING DELAYS; ADAPTIVE SYNCHRONIZATION; PARAMETER-IDENTIFICATION; SECURE COMMUNICATION; STABILITY; SYSTEMS; CRITERIA;
D O I
10.1007/s11071-008-9344-4
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
Based on matrix measure and Halanay inequality, exponential synchronization of a class of chaotic neural networks with time-varying delays is investigated. Without constructing Lyapunov function, some simple but generic criteria for exponential synchronization of chaotic neural networks are derived. It is shown that the obtained results are easy to verify and simple to implement in practice. Two examples are given to illustrate the effectiveness of the presented synchronization scheme.
引用
收藏
页码:55 / 65
页数:11
相关论文
共 31 条
[1]  
[Anonymous], 1993, NONLINEAR SYSTEMS AN
[2]   Boundedness and stability for Cohen-Grossberg neural network with time-varying delays [J].
Cao, J ;
Liang, JL .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 296 (02) :665-685
[3]   Adaptive synchronization of neural networks with or without time-varying delay [J].
Cao, JD ;
Lu, JQ .
CHAOS, 2006, 16 (01)
[4]   Stability in delayed Cohen-Grossberg neural networks: LMI optimization approach [J].
Cao, JD ;
Li, XL .
PHYSICA D-NONLINEAR PHENOMENA, 2005, 212 (1-2) :54-65
[5]   Global asymptotic and robust stability of recurrent neural networks with time delays [J].
Cao, JD ;
Wang, J .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2005, 52 (02) :417-426
[6]   Absolute exponential stability of recurrent neural networks with Lipschitz-continuous activation functions and time delays [J].
Cao, JD ;
Wang, J .
NEURAL NETWORKS, 2004, 17 (03) :379-390
[7]   Exponential stability and periodic oscillatory solution in BAM networks with delays [J].
Cao, JD ;
Wang, L .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2002, 13 (02) :457-463
[8]   Stability in Cohen-Grossberg-type bidirectional associative memory neural networks with time-varying delays [J].
Cao, Jinde ;
Song, Qiankun .
NONLINEARITY, 2006, 19 (07) :1601-1617
[9]  
Chen G., 1998, CHAOS ORDER METHODOL
[10]   Some simple synchronization criteria for complex dynamical networks [J].
Chen, Maoyin .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2006, 53 (11) :1185-1189