Global asymptotic stability to a generalized Cohen-Grossberg BAM neural networks of neutral type delays

被引：100
作者：
Zhang, Zhengqiu [1 ]
Liu, Wenbin [2 ]
Zhou, Dongming [3 ]
机构：
[1] Hunan Univ, Coll Math, Changsha 410082, Hunan, Peoples R China
[2] Hunan Coll Finance & Econ, Dept Informat & Management, Changsha 410205, Hunan, Peoples R China
[3] Yunnan Univ, Informat Coll, Kunming 650091, Yunnan, Peoples R China
来源：
NEURAL NETWORKS | 2012年 / 25卷
关键词：
The existence and uniqueness of an equilibrium point; Generalized Cohen-Grossberg BAM neural networks of neutral type; Global asymptotic stability; Inequality technique; Homeomorphism theory; Lyapunov functional; EXPONENTIAL STABILITY; ROBUST STABILITY; PERIODIC-SOLUTIONS; CRITERIA; DISCRETE;
D O I：
10.1016/j.neunet.2011.07.006
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, we first discuss the existence of a unique equilibrium point of a generalized Cohen-Grossberg BAM neural networks of neutral type delays by means of the Homeomorphism theory and inequality technique. Then, by applying the existence result of an equilibrium point and constructing a Lyapunov functional, we study the global asymptotic stability of the equilibrium solution to the above Cohen-Grossberg BAM neural networks of neutral type. In our results, the hypothesis for boundedness in the existing paper, which discussed Cohen-Grossberg neural networks of neutral type on the activation functions, are removed. Finally, we give an example to demonstrate the validity of our global asymptotic stability result for the above neural networks. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码：94 / 105
页数：12
相关论文
共 41 条
[21]  
Qiu J, 2007, J MATH CONTROL SCI A, V1, P179
[22]   New results on the robust stability of Cohen-Grossberg neural networks with delays [J].
Rong, Libin ;
Chen, Tianping .
NEURAL PROCESSING LETTERS, 2006, 24 (03) :193-202
[23]   Robust stability in Cohen-Grossberg neural network with both time-varying and distributed delays [J].
Song, Qian-Kun ;
Cao, Jin-De .
NEURAL PROCESSING LETTERS, 2008, 27 (02) :179-196
[24]   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
[25]   Exponential stability of Cohen-Grossberg neural networks [J].
Wang, L ;
Zou, XF .
NEURAL NETWORKS, 2002, 15 (03) :415-422
[26]   Harmless delays in Cohen-Grossberg neural networks [J].
Wang, L ;
Zou, XF .
PHYSICA D-NONLINEAR PHENOMENA, 2002, 170 (02) :162-173
[27]   Stability of Cohen-Grossberg neural networks with distributed delays [J].
Wang, L .
APPLIED MATHEMATICS AND COMPUTATION, 2005, 160 (01) :93-110
[28]   Stability analysis for stochastic Cohen-Grossberg neural networks with mixed time delays [J].
Wang, ZD ;
Liu, YR ;
Li, MZ ;
Liu, XH .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2006, 17 (03) :814-820
[29]   On global asymptotic stability of neural networks with discrete and distributed delays [J].
Wang, ZD ;
Liu, YR ;
Liu, XH .
PHYSICS LETTERS A, 2005, 345 (4-6) :299-308
[30]   Global Asymptotic Stability of Reaction-Diffusion Cohen-Grossberg Neural Networks With Continuously Distributed Delays [J].
Wang, Zhanshan ;
Zhang, Huaguang .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2010, 21 (01) :39-49
12345