PERIODIC SOLUTIONS FOR A CLASS OF FUZZY BAM NEURAL NETWORKS WITH DISTRIBUTED DELAYS AND VARIABLE COEFFICIENTS

被引：8

作者：

Li, Yongkun ^{[1
]}

Yang, Li ^{[1
]}

Wu, Wanqin ^{[1
]}

机构：

[1] Yunnan Univ, Dept Math, Kunming 650091, Yunnan, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2010年 / 20卷 / 05期

关键词：

BAM neural networks; exponential stability; periodic solutions; Brouwer fixed point theorem; distributed delays; GLOBAL EXPONENTIAL STABILITY; ASYMPTOTIC STABILITY; EXISTENCE;

D O I：

10.1142/S0218127410026708

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider a class of fuzzy BAM neural networks with distributed delays and variable coefficients. By using Brouwer fixed point theorem and differential inequality, we obtain some sufficient conditions for the existence and global exponential stability of periodic solutions for a class of fuzzy BAM neural networks with distributed delays and variable coefficients. In addition, we also present an illustrative example to show the effectiveness of obtained results.

引用

页码：1551 / 1565

页数：15

共 25 条

[1] [Anonymous], 1979, NONNEGATIVE MATRICES
[2] [Anonymous], P 4 IEEE INT WORKSH
[3] Stability analysis of Cohen-Grossberg BAM neural networks with delays and impulses
Bai, Chuanzhi
[J]. CHAOS SOLITONS & FRACTALS, 2008, 35 (02) : 263 - 267
[4] Impulsive effects on global asymptotic stability of delay BAM neural networks
Chen, Jun
Cui, Baotong
[J]. CHAOS SOLITONS & FRACTALS, 2008, 38 (04) : 1115 - 1125
[5] CELLULAR NEURAL NETWORKS - APPLICATIONS
CHUA, LO
YANG, L
[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1988, 35 (10): : 1273 - 1290
[6] CHUA LO, 1990, P 1990 IEEE INT WORK, P12
[7] ON STABILITY OF CELLULAR NEURAL NETWORKS WITH DELAY
CIVALLERI, PP
GILLI, M
PANDOLFI, L
[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 1993, 40 (03) : 157 - 165
[8] NEURAL NETWORKS AND PHYSICAL SYSTEMS WITH EMERGENT COLLECTIVE COMPUTATIONAL ABILITIES
HOPFIELD, JJ
[J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA-BIOLOGICAL SCIENCES, 1982, 79 (08): : 2554 - 2558
[9] Global asymptotic stability analysis of bidirectional associative memory neural networks with distributed delays and impulse
Huang, Zai-Tang
Luo, Xiao-Shu
Yang, Qi-Gui
[J]. CHAOS SOLITONS & FRACTALS, 2007, 34 (03) : 878 - 885
[10] BIDIRECTIONAL ASSOCIATIVE MEMORIES
KOSKO, B
[J]. IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS, 1988, 18 (01): : 49 - 60

← 1 2 3 →