Stability analysis of impulsive Cohen-Grossberg neural networks with distributed delays and reaction-diffusion terms

被引：51

作者：

Li, Zuoan ^{[1
]}

Li, Kelin ^{[1
]}

机构：

[1] Sichuan Univ Sci & Engn, Dept Math, Sichuan 643000, Peoples R China

来源：

APPLIED MATHEMATICAL MODELLING | 2009年 / 33卷 / 03期

关键词：

Cohen-Grossberg neural networks; Impulses; Delays; Global exponential stability; Reaction-diffusion; GLOBAL EXPONENTIAL STABILITY; TIME-VARYING DELAYS; PERIODIC-SOLUTIONS; VARIABLE DELAYS; BOUNDEDNESS; EXISTENCE;

D O I：

10.1016/j.apm.2008.01.016

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, we investigate a class of impulsive Cohen-Grossberg neural networks with distributed delays and reaction-diffusion terms. By establishing an integro-differential inequality with impulsive initial conditions and applying M-matrix theory. we find some sufficient conditions ensuring the existence. uniqueness, global exponential stability and global robust exponential stability of equilibrium point for impulsive Cohen-Grossberg neural networks with distributed delays and reaction-diffusion terms. An example is given to illustrate the results obtained here. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：1337 / 1348

页数：12

共 37 条

[21] Global exponential stability of reaction-diffusion recurrent neural networks with time-varying delays [J].

Liang, JL ;

Cao, JD .

PHYSICS LETTERS A, 2003, 314 (5-6) :434-442

[22] Global attractivity of Cohen-Grossberg model with finite and infinite delays [J].

Liao, XF ;

Li, CD .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 315 (01) :244-262

[23] Boundedness and exponential stability for nonautonomous cellular neural networks with reaction-diffusion terms [J].

Lou, Xuyang ;

Cui, Baotong .

CHAOS SOLITONS & FRACTALS, 2007, 33 (02) :653-662

[24] Exponential stability of impulsive neural networks with time-varying delays and reaction-diffusion terms [J].

Qiu, Jianlong .

NEUROCOMPUTING, 2007, 70 (4-6) :1102-1108

[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] Periodic solutions and its exponential stability of reaction-diffusion recurrent neural networks with continuously distributed delays [J].

Song, QK ;

Cao, JD ;

Zhao, ZJ .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2006, 7 (01) :65-80

[27] Global exponential stability and existence of periodic solutions in BAM networks with delays and reaction-diffusion terms [J].

Song, QK ;

Cao, JD .

CHAOS SOLITONS & FRACTALS, 2005, 23 (02) :421-430

[28] Delay-independent criteria for exponential stability of generalized Cohen-Grossberg neural networks with discrete delays [J].

Wan, AH ;

Qiao, H ;

Peng, JG ;

Wang, MS .

PHYSICS LETTERS A, 2006, 353 (2-3) :151-157

[29] Global exponential stability of Hopfield reaction-diffusion neural networks with time-varying delays [J].

Wang, LS ;

Xu, DY .

SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES, 2003, 46 (06) :466-474

[30] Impulsive delay differential inequality and stability of neural networks [J].

Xu, DY ;

Yang, ZC .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 305 (01) :107-120

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