Delay-dependent exponential stability for impulsive Cohen-Grossberg neural networks with time-varying delays and reaction-diffusion terms

被引：43

作者：

Zhang, Xinhua ^{[1
]}

Wu, Shulin ^{[1
]}

Li, Kelin ^{[1
]}

机构：

[1] Sichuan Univ Sci & Engn, Sch Sci, Chengdu 643000, Sichuan, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2011年 / 16卷 / 03期

关键词：

Cohen-Grossberg neural networks; Reaction-diffusion; Impulses; Delays; Global exponential stability; Linear matrix inequality; GLOBAL ASYMPTOTIC STABILITY; DISTRIBUTED DELAYS; VARIABLE DELAYS; BOUNDEDNESS; COMPLEXITY;

D O I：

10.1016/j.cnsns.2010.06.023

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a class of impulsive Cohen-Grossberg neural networks with time-varying delays and reaction-diffusion is formulated and investigated. By employing delay differential inequality and the linear matrix inequality (LMI) optimization approach, some sufficient conditions ensuring global exponential stability of equilibrium point for impulsive Cohen-Grossberg neural networks with time-varying delays and diffusion are obtained. In particular, the estimate of the exponential convergence rate is also provided, which depends on system parameters, diffusion effect and impulsive disturbed intention. It is believed that these results are significant and useful for the design and applications of Cohen-Grossberg neural networks. An example is given to show the effectiveness of the results obtained here. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：1524 / 1532

页数：9

共 31 条

[1] Global stability analysis of Cohen-Grossberg neural networks with time varying delays [J].

Arik, S ;

Orman, Z .

PHYSICS LETTERS A, 2005, 341 (5-6) :410-421

[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] Global asymptotic stability of a general class of recurrent neural networks with time-varying delays [J].

Cao, J ;

Wang, J .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2003, 50 (01) :34-44

[4] Exponential stability of delayed bidirectional associative memory neural networks with reaction diffusion terms [J].

Chen, Anping ;

Huang, Lihong ;

Cao, Jinde .

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2007, 38 (05) :421-432

[5] Passivity and complexity [J].

Chua, LO .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1999, 46 (01) :71-82

[6] ABSOLUTE STABILITY OF GLOBAL PATTERN-FORMATION AND PARALLEL MEMORY STORAGE BY COMPETITIVE NEURAL NETWORKS [J].

COHEN, MA ;

GROSSBERG, S .

IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS, 1983, 13 (05) :815-826

[7] Global asymptotic stability of BAM neural networks with distributed delays and reaction-diffusion terms [J].

Cui, BT ;

Lou, XY .

CHAOS SOLITONS & FRACTALS, 2006, 27 (05) :1347-1354

[8] Complexity of reaction-diffusion CNN [J].

Itoh, Makoto ;

Chua, Leon O. .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2006, 16 (09) :2499-2527

[9] Boundedness and global exponential stability for generalized Cohen-Grossberg neural networks with variable delay [J].

Jiang, MH ;

Shen, Y ;

Liao, XX .

APPLIED MATHEMATICS AND COMPUTATION, 2006, 172 (01) :379-393

[10] GLOBAL EXPONENTIAL STABILITY OF IMPULSIVE FUZZY CELLULAR NEURAL NETWORKS WITH DELAYS AND DIFFUSION [J].

Li, Kelin .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2009, 19 (01) :245-261

← 1 2 3 4 →