A new stability criterion for bidirectional associative memory neural networks of neutral-type

被引：171

作者：

Park, Ju H. ^{[1
]}

Park, C. H. ^{[2
]}

Kwon, O. M. ^{[3
]}

Lee, S. M. ^{[4
]}

机构：

[1] Yeungnam Univ, Dept Elect Engn, Robust Control & Nonlinear Dynam Lab, Kyongsan 712749, South Korea

[2] Yeungnam Univ, Dept Comp Engn, Kyongsan 712749, South Korea

[3] Chungbuk Natl Univ, Sch Elect & Comp Engn, Cheongju, South Korea

[4] KT Co Ltd, BcN Business Unit, Platform Verificat Div, Taejon, South Korea

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 199卷 / 02期

关键词：

global stability; BAM neural network; delay; linear matrix inequality; Lyapunov method;

D O I：

10.1016/j.amc.2007.10.032

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the paper, the global asymptotic stability of equilibrium is considered for continuous bidirectional associative memory ( BAM) neural networks of neutral type by using the Lyapunov method. A new stability criterion is derived in terms of linear matrix inequality ( LMI) to ascertain the global asymptotic stability of the BAM. The LMI can be solved easily by various convex optimization algorithms. A numerical example is illustrated to verify our result. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：716 / 722

页数：7

共 50 条

[31] Stability of Bidirectional Associative Memory networks with impulses
Luo, Zhiguo
Li, Jianli
Shen, Jianhua
APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (05) : 1658 - 1667
[32] New conditions for global stability of neutral-type delayed Cohen-Grossberg neural networks
Ozcan, Neyir
NEURAL NETWORKS, 2018, 106 : 1 - 7
[33] Impulsive effects on stability of Cohen-Grossberg-type bidirectional associative memory neural networks with delays
Zhou, Qinghua
Wan, Li
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (04) : 2531 - 2540
[34] Global asymptotic stability of bidirectional associative memory neural networks with S-type distributed delays
Wang, LS
Xu, DY
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2002, 33 (11) : 869 - 877
[35] Stability Analysis in Higher Order Cohen-Grossberg-Type Bidirectional Associative Memory Neural Networks
Xu, Rongcong
Xia, Yonghui
ICNC 2008: FOURTH INTERNATIONAL CONFERENCE ON NATURAL COMPUTATION, VOL 2, PROCEEDINGS, 2008, : 552 - 559
[36] DELAY-DEPENDENT STABILITY CRITERION FOR BIDIRECTIONAL ASSOCIATIVE MEMORY NEURAL NETWORKS WITH INTERVAL TIME-VARYING DELAYS
Park, Ju H.
Kwon, O. M.
MODERN PHYSICS LETTERS B, 2009, 23 (01): : 35 - 46
[37] Global stability of bidirectional associative memory neural networks with continuously distributed delays
张强
马润年
许进
Science China(Information Sciences), 2003, (05) : 327 - 334
[38] Global exponential stability of bidirectional associative memory neural networks with time delays
Liu, Xin-Ge
Martin, Ralph R.
Wu, Min
Tang, Mei-Lan
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2008, 19 (03): : 397 - 407
[39] Exponential Stability of Bidirectional Associative Memory Neural Networks with Distributed Delays and Impulsive
Zhang, Chaolong
Yang, Fengjian
Wu, Dongqing
Yang, Jianfu
2008 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-11, 2008, : 769 - 773
[40] Global stability analysis of bidirectional associative memory neural networks with time delay
Zhang, JY
Yang, YR
INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS, 2001, 29 (02) : 185 - 196

← 1 2 3 4 5 →