Global exponential robust stability of delayed neural networks

被引：18

作者：

Li, XL ^{[1
]}

Cao, JD ^{[1
]}

机构：

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

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2004年 / 14卷 / 08期

基金：

中国国家自然科学基金;

关键词：

neural networks; time delays; global exponential robust stability; Lyapunov functional;

D O I：

10.1142/S0218127404011119

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, several simple and new conditions are presented to ensure existence, uniqueness and global exponential robust stability of the equilibrium point of neural networks with delays by using contraction mapping principle, homeomorphism property and Lyapunov method. The conditions given in this paper are easy to verify and apply, and the obtained results improve and extend to those in the literature. In addition, two examples are given to show the effectiveness of the proposed results.

引用

页码：2925 / 2931

页数：7

共 14 条

[1] Global robust stability of delayed neural networks [J].

Arik, S .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2003, 50 (01) :156-160

[2] On the global asymptotic stability of delayed cellular neural networks [J].

Arik, S ;

Tavsanoglu, V .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2000, 47 (04) :571-574

[3] A set of stability criteria for delayed cellular neural networks [J].

Cao, J .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2001, 48 (04) :494-498

[4] 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

[5] Global stability conditions for delayed CNNs [J].

Cao, J. .

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 2001, 48 (11) :1330-1333

[6] New results concerning exponential stability and periodic solutions of delayed cellular neural networks [J].

Cao, JD .

PHYSICS LETTERS A, 2003, 307 (2-3) :136-147

[7] Exponential stability and periodic oscillatory solution in BAM networks with delays [J].

Cao, JD ;

Wang, L .

IEEE TRANSACTIONS ON NEURAL NETWORKS, 2002, 13 (02) :457-463

[8] NECESSARY AND SUFFICIENT CONDITION FOR ABSOLUTE STABILITY OF NEURAL NETWORKS [J].

FORTI, M ;

MANETTI, S ;

MARINI, M .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 1994, 41 (07) :491-494

[9] SUFFICIENT CONDITIONS FOR STABILITY OF INTERVAL MATRICES [J].

HEINEN, JA .

INTERNATIONAL JOURNAL OF CONTROL, 1984, 39 (06) :1323-1328

[10] ROBUSTNESS OF STABILITY OF TIME-VARYING LINEAR-SYSTEMS [J].

HINRICHSEN, D ;

ILCHMANN, A ;

PRITCHARD, AJ .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1989, 82 (02) :219-250

← 1 2 →