Global exponential stability analysis for a class of neural networks with time delays

被引:14
作者
Guo, Yingxin [1 ,2 ]
Liu, Shu Tang [2 ]
机构
[1] Qufu Normal Univ, Dept Math, Qufu 273165, Shandong, Peoples R China
[2] Shandong Univ, Coll Control Sci & Engn, Jinan 250061, Shandong, Peoples R China
关键词
neural networks with time delay; exponential stability; equilibrium; Brouwer's fixed point theorem; ASYMPTOTIC STABILITY; VARYING DELAYS; DISTRIBUTED DELAYS; ROBUST STABILITY; NONMONOTONIC NEURONS; ASSOCIATIVE MEMORY; PERIODIC-SOLUTIONS; NEUTRAL TYPE; DISCRETE; DYNAMICS;
D O I
10.1002/rnc.1761
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Employing Brouwer's fixed point theorem, matrix theory, we made a further investigation of a class of neural networks with delays in this paper. A family of sufficient conditions were given for checking global exponential stability. These results have important leading significance in the design and applications of globally stable neural networks with delays. Our results extended and improved some earlier publications. Copyright (c) 2011 John Wiley & Sons, Ltd.
引用
收藏
页码:1484 / 1494
页数:11
相关论文
共 37 条
[1]  
[Anonymous], 1979, NONNEGATIVE MATRICES
[2]   Global robust stability of delayed neural networks [J].
Arik, S .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2003, 50 (01) :156-160
[3]   An analysis of global asymptotic stability of delayed cellular neural networks [J].
Arik, S .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2002, 13 (05) :1239-1242
[4]   Global asymptotic stability of a class of dynamical neural networks [J].
Arik, S .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2000, 47 (04) :568-571
[5]   On exponential stability and periodic solutions of CNNs with delays [J].
Cao, J .
PHYSICS LETTERS A, 2000, 267 (5-6) :312-318
[6]   Global robust stability of interval cellular neural networks with time-varying delays [J].
Chen, AP ;
Cao, JD ;
Huang, LH .
CHAOS SOLITONS & FRACTALS, 2005, 23 (03) :787-799
[7]   Stability of asymmetric Hopfield networks [J].
Chen, TP ;
Amari, SI .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2001, 12 (01) :159-163
[8]   Delay-Dependent Exponential Stability for Discrete-Time BAM Neural Networks with Time-Varying Delays [J].
Chen, Yonggang ;
Bi, Weiping ;
Wu, Yuanyuan .
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2008, 2008
[9]   CELLULAR NEURAL NETWORKS - THEORY [J].
CHUA, LO ;
YANG, L .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1988, 35 (10) :1257-1272
[10]   Storage capacity of non-monotonic neurons [J].
Crespi, B .
NEURAL NETWORKS, 1999, 12 (10) :1377-1389