Robust convergence of Cohen-Grossberg neural networks with time-varying delays

被引:8
作者
Xiong, Wenjun [1 ]
Ma, Deyi [1 ]
Liang, Jinling [2 ]
机构
[1] Three Gorges Univ, Coll Sci, Inst Nonlinear Complex Syst, Yichang 443002, Peoples R China
[2] Southeast Univ, Dept Math, Nanjing 210096, Peoples R China
关键词
CONTINUOUSLY DISTRIBUTED DELAYS; STABILITY ANALYSIS; EXPONENTIAL STABILITY; HARMLESS DELAYS; DISCRETE; SYSTEMS; CRITERION;
D O I
10.1016/j.chaos.2007.08.072
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, robust convergence is studied for the Cohen-Grossberg neural networks (CGNNs) with time-varying delays. By applying the differential inequality and the Lyapunov method, some delay-independent conditions are derived ensuring the robust CGNNs to converge, globally, uniformly and exponentially, to a ball in the state space with a pre-specified convergence rate. Finally, the effectiveness of our results are verified by an illustrative example. (C) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1176 / 1184
页数:9
相关论文
共 32 条
[21]   Robust stability analysis of linear time-delay systems by Lambert W function:: Some extreme point results [J].
Shinozaki, Hiroshi ;
Mori, Takehiro .
AUTOMATICA, 2006, 42 (10) :1791-1799
[22]   A novel global robust stability criterion for neural networks with delay [J].
Singh, V .
PHYSICS LETTERS A, 2005, 337 (4-6) :369-373
[23]   Global robust stability of delayed neural networks: Estimating upper limit of norm of delayed connection weight matrix [J].
Singh, Vimal .
CHAOS SOLITONS & FRACTALS, 2007, 32 (01) :259-263
[24]  
SONG Q, J FRANKLIN IN PRESS
[25]   Stability analysis of Cohen-Grossberg neural network with both time-varying and continuously distributed delays [J].
Song, Qiankun ;
Cao, Jinde .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2006, 197 (01) :188-203
[26]   Global exponential stability and periodic solutions Cohen-Grossberg neural networks with continuously distributed delays [J].
Sun, JH ;
Wan, L .
PHYSICA D-NONLINEAR PHENOMENA, 2005, 208 (1-2) :1-20
[27]   Harmless delays for global asymptotic stability of Cohen-Grossberg neural networks [J].
Tu, FH ;
Liao, XF .
CHAOS SOLITONS & FRACTALS, 2005, 26 (03) :927-933
[28]   Harmless delays in Cohen-Grossberg neural networks [J].
Wang, L ;
Zou, XF .
PHYSICA D-NONLINEAR PHENOMENA, 2002, 170 (02) :162-173
[29]  
WANG LS, 2003, ANN DIFFERENTIAL EQU, V19, P421
[30]   Absolutely exponential stability of Cohen-Grossberg neural networks with unbounded delays [J].
Xiong, WJ ;
Cao, JD .
NEUROCOMPUTING, 2005, 68 :1-12