On delayed impulsive Hopfield neural networks

被引：230

作者：

Guan, ZH ^{[1
]}

Chen, GR

机构：

[1] Huazhong Univ Sci & Technol, Dept Automat Control Engn, Wuhan 430074, Hubei, Peoples R China

[2] Univ Houston, Dept Elect & Comp Engn, Houston, TX 77204 USA

来源：

NEURAL NETWORKS | 1999年 / 12卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Hopfield neural networks; impulses; stability; time-delays;

D O I：

10.1016/S0893-6080(98)00133-6

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Many evolutionary processes, particularly some biological systems, exhibit impulsive dynamical behaviors, which can be well described by impulsive Hopfield neural networks. This paper formulates and studies a model of delayed impulsive Hopfield neural networks. Several fundamental issues such as global exponential stability, existence and uniqueness of the equilibrium of such networks are established. A numerical example is given for illustration and interpretation of the theoretical results. (C) 1999 Elsevier Science Ltd. All rights reserved.

引用

页码：273 / 280

页数：8

共 29 条

[1]

BAINOV DD, 1989, STABILTY THEORY DIFF

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

BALDI, P ;

ATIYA, AF .

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

[3]

CARPENTER GA, 1987, SCIENCE, V235, P1226

[4] 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

[5]

Desoer CA., 1975, FEEDBACK SYSTEMS INP

[6] Stability analysis of dynamical neural networks [J].

Fang, YG ;

Kincaid, TG .

IEEE TRANSACTIONS ON NEURAL NETWORKS, 1996, 7 (04) :996-1006

[7] DELAY-INDEPENDENT STABILITY IN BIDIRECTIONAL ASSOCIATIVE MEMORY NETWORKS [J].

GOPALSAMY, K ;

HE, XZ .

IEEE TRANSACTIONS ON NEURAL NETWORKS, 1994, 5 (06) :998-1002

[8] STABILITY IN ASYMMETRIC HOPFIELD NETS WITH TRANSMISSION DELAYS [J].

GOPALSAMY, K ;

HE, XZ .

PHYSICA D-NONLINEAR PHENOMENA, 1994, 76 (04) :344-358

[9] EXPONENTIAL STABILITY AND TRAJECTORY BOUNDS OF NEURAL NETWORKS UNDER STRUCTURAL VARIATIONS [J].

GRUJIC, LT ;

MICHEL, AN .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1991, 38 (10) :1182-1192

[10] DECENTRALIZED STABILIZATION OF SINGULAR AND TIME-DELAY LARGE-SCALE CONTROL-SYSTEMS WITH IMPULSIVE SOLUTIONS [J].

GUAN, ZH ;

LIU, YQ ;

WEN, XC .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1995, 40 (08) :1437-1441

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