Global Stability of Bidirectional Associative Memory Neural Networks With Multiple Time-Varying Delays

被引：18

作者：

Sheng, Yin ^{[1
,2
]}

Zeng, Zhigang ^{[1
,2
]}

Huang, Tingwen ^{[3
]}

机构：

[1] Huazhong Univ Sci & Technol, Sch Artificial Intelligence & Automat, Wuhan 430074, Peoples R China

[2] Educ Minist China, Key Lab Image Proc & Intelligent Control, Wuhan 430074, Peoples R China

[3] Texas A&M Univ Qatar, Dept Sci, Doha, Qatar

来源：

IEEE TRANSACTIONS ON CYBERNETICS | 2022年 / 52卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Bidirectional associative memory neural networks (BAMNNs); discrete-time delay; distributed time delay; global stability; EXPONENTIAL STABILITY; PERIODIC-SOLUTION; SYNCHRONIZATION; MULTISTABILITY; STABILIZATION; COEFFICIENTS;

D O I：

10.1109/TCYB.2020.3011581

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This article investigates the global stability of bidirectional associative memory neural networks with discrete and distributed time-varying delays (DBAMNNs). By employing the comparison strategy and inequality techniques, global asymptotic stability (GAS) and global exponential stability (GES) of the underlying DBAMNNs are of concern in terms of p-norm (p >= 2). Meanwhile, GES of the addressed DBAMNNs is also analyzed in terms of 1-norm. When distributed time delay is neglected, the GES of the corresponding bidirectional associative memory neural networks is presented as an M-matrix, which includes certain existing outcomes as special cases. Two examples are finally provided to substantiate the validity of theories.

引用

页码：4095 / 4104

页数：10

共 50 条

[1] Global exponential stability analysis of bidirectional associative memory neural networks with time-varying delays
Wang, Yangling
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (03) : 1527 - 1539
[2] Global Exponential Stability Criteria for Bidirectional Associative Memory Neural Networks with Time-Varying Delays
Thipcha, J.
Niamsup, P.
[J]. ABSTRACT AND APPLIED ANALYSIS, 2013,
[3] On exponential stability of bidirectional associative memory neural networks with time-varying delays
Park, Ju H.
Lee, S. M.
Kwon, O. M.
[J]. CHAOS SOLITONS & FRACTALS, 2009, 39 (03) : 1083 - 1091
[4] Global exponential stability for uncertain bidirectional associative memory neural networks with multiple time-varying delays via LMI approach
Gau, Ruey-Shyan
Hsieh, Jer-Guang
Lien, Chang-Hua
[J]. INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS, 2008, 36 (04) : 451 - 471
[5] Stability results for stochastic bidirectional associative memory neural networks with multiple discrete and distributed time-varying delays
Li, Xiaodi
Balasubramaniam, P.
Rakkiyappan, R.
[J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2011, 88 (07) : 1358 - 1372
[6] Global robust stability of bidirectional associative memory neural networks with multiple time delays
Senan, Sibel
Arik, Sabri
[J]. IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2007, 37 (05): : 1375 - 1381
[7] On improved delay-dependent criterion for global stability of bidirectional associative memory neural networks with time-varying delays
Park, Ju H.
Kwon, O. M.
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2008, 199 (02) : 435 - 446
[8] Stability in Cohen-Grossberg-type bidirectional associative memory neural networks with time-varying delays
Cao, Jinde
Song, Qiankun
[J]. NONLINEARITY, 2006, 19 (07) : 1601 - 1617
[9] Global exponential stability of bidirectional associative memory neural networks with time delays
Liu, Xin-Ge
Martin, Ralph R.
Wu, Min
Tang, Mei-Lan
[J]. IEEE TRANSACTIONS ON NEURAL NETWORKS, 2008, 19 (03): : 397 - 407
[10] Global stability of bidirectional associative memory neural networks with delays
Zhang, Q
Gao, L
Wang, C
Xu, J
[J]. ACTA PHYSICA SINICA, 2003, 52 (07) : 1600 - 1605

← 1 2 3 4 5 →