Exponential stability of impulsive neural networks with time-varying delays and reaction-diffusion terms

被引：68

作者：

Qiu, Jianlong ^{[1
]}

机构：

[1] SE Univ, Dept Math, Nanjing 210096, Peoples R China

[2] Linyi Normal Univ, Dept Math, Linyi 276005, Peoples R China

来源：

NEUROCOMPUTING | 2007年 / 70卷 / 4-6期

关键词：

impulsive neural networks; exponential stability; reaction-diffusion; linear matrix inequality;

D O I：

10.1016/j.neucom.2006.08.003

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

This paper considers the problems of global exponential stability and exponential convergence rate for impulsive neural networks with time-varying delays and reaction-diffusion terms. By using Lyapunov functions method, some sufficient conditions ensuring global exponential stability of the networks are derived, and the estimated exponential convergence rate is also obtained. A numerical example is given at the end of this paper to demonstrate the effectiveness and applicability of the proposed criteria. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：1102 / 1108

页数：7

共 31 条

[1] Stability of the zero solution of impulsive differential equations by the Lyapunov second method [J].

Akhmetov, MU ;

Zafer, A .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 248 (01) :69-82

[2] Global asymptotic stability of a larger class of neural networks with constant time delay [J].

Arik, S .

PHYSICS LETTERS A, 2003, 311 (06) :504-511

[3] HOW DELAYS AFFECT NEURAL DYNAMICS AND LEARNING [J].

BALDI, P ;

ATIYA, AF .

IEEE TRANSACTIONS ON NEURAL NETWORKS, 1994, 5 (04) :612-621

[4] 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

[5] Exponential stability of delayed bi-directional associative memory networks [J].

Cao, J ;

Dong, MF .

APPLIED MATHEMATICS AND COMPUTATION, 2003, 135 (01) :105-112

[6] 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

[7] Global point dissipativity of neural networks with mixed time-varying delays [J].

Cao, JD ;

Yuan, K ;

Ho, DWC ;

Lam, J .

CHAOS, 2006, 16 (01)

[8] Adaptive synchronization of neural networks with or without time-varying delay [J].

Cao, JD ;

Lu, JQ .

CHAOS, 2006, 16 (01)

[9] Global synchronization in arrays of delayed neural networks with constant and delayed coupling [J].

Cao, JD ;

Li, P ;

Wang, WW .

PHYSICS LETTERS A, 2006, 353 (04) :318-325

[10] Exponential stability of high-order bidirectional associative memory neural networks with time delays [J].

Cao, JD ;

Liang, JL ;

Lam, J .

PHYSICA D-NONLINEAR PHENOMENA, 2004, 199 (3-4) :425-436

← 1 2 3 4 →