Boundedness and stability of nonautonomous cellular neural networks with reaction-diffusion terms

被引：14

作者：

Zhao, Hongyong ^{[1
]}

Mao, Zisen ^{[2
]}

机构：

[1] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 210016, Peoples R China

[2] PLA Univ Sci & Technol, Coll Sci, Nanjing 211101, Peoples R China

来源：

MATHEMATICS AND COMPUTERS IN SIMULATION | 2009年 / 79卷 / 05期

关键词：

Cellular neural networks; Reaction-diffusion terms; Equilibrium point; Boundedness; Globally exponential stability; GLOBAL EXPONENTIAL STABILITY; TIME-VARYING DELAYS; ROBUST STABILITY;

D O I：

10.1016/j.matcom.2008.07.008

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, we study a class of nonautonomous cellular neural networks with reaction-diffusion terms. By employing the method of variation parameter, applying inequality technique and introducing a lot of real parameters, we present some sufficient conditions ensuring the boundedness and globally exponential stability of the solutions for nonautonomous cellular neural networks with reaction-diffusion terms. The results obtained extend and improve the earlier publications. Finally, three examples with their numerical simulations are provided to show the correctness of our analysis. (C) 2008 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：1603 / 1617

页数：15

共 14 条

[1]

[Anonymous], IEEE T CIRCUITS SYST

[2] Global robust stability of delayed recurrent neural networks [J].

Cao, JD ;

Huang, DS ;

Qu, YZ .

CHAOS SOLITONS & FRACTALS, 2005, 23 (01) :221-229

[3] CELLULAR NEURAL NETWORKS - APPLICATIONS [J].

CHUA, LO ;

YANG, L .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1988, 35 (10) :1273-1290

[4] Stability of artificial neural networks with impulses [J].

Gopalsamy, K .

APPLIED MATHEMATICS AND COMPUTATION, 2004, 154 (03) :783-813

[5] Global stability analysis of a class of delayed cellular neural networks [J].

Huang, CX ;

Huang, LH ;

Yuan, ZH .

MATHEMATICS AND COMPUTERS IN SIMULATION, 2005, 70 (03) :133-148

[6] 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

[7] 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

[8]

LU W, 2006, CHAOS SOL FRAC, V29, P349

[9] Exponential stability of continuous-time and discrete-time cellular neural networks with delays [J].

Mohamad, S ;

Gopalsamy, K .

APPLIED MATHEMATICS AND COMPUTATION, 2003, 135 (01) :17-38

[10] Exponential periodicity and stability of delayed neural networks [J].

Sun, CY ;

Feng, CB .

MATHEMATICS AND COMPUTERS IN SIMULATION, 2004, 66 (06) :469-478

← 1 2 →