Global exponential stability of BAM neural networks with time-varying delays: The discrete-time case

被引:46
|
作者
Raja, R. [1 ]
Anthoni, S. Marshal [2 ]
机构
[1] Periyar Univ, Dept Math, Salem 636011, India
[2] Anna Univ, Dept Math, Coimbatore 641047, Tamil Nadu, India
关键词
Discrete-time BAM neural networks; Global exponential stability; Linear matrix inequality; Time-varying delays; BIDIRECTIONAL ASSOCIATIVE MEMORIES; ASYMPTOTIC STABILITY; LMI APPROACH; ROBUST STABILITY; VARIABLE DELAYS; CRITERIA;
D O I
10.1016/j.cnsns.2010.04.022
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper deals with the problem of stability analysis for a class of discrete-time bidirectional associative memory (BAM) neural networks with time-varying delays. By employing the Lyapunov functional and linear matrix inequality (LMI) approach, a new sufficient conditions is proposed for the global exponential stability of discrete-time BAM neural networks. The proposed LMI based results can be easily checked by LMI control toolbox. Moreover, an example is also provided to demonstrate the effectiveness of the proposed method. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码:613 / 622
页数:10
相关论文
共 50 条
  • [1] Global robust exponential stability of discrete-time interval BAM neural networks with time-varying delays
    Gao, Ming
    Cui, Baotong
    APPLIED MATHEMATICAL MODELLING, 2009, 33 (03) : 1270 - 1284
  • [2] Global Exponential Stability of Discrete-Time Neural Networks with Time-Varying Delays
    Udpin, S.
    Niamsup, P.
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2013, 2013
  • [3] Global Exponential Stability Conditions for Discrete-Time BAM Neural Networks Affected by Impulses and Time-Varying Delays
    Li, Wanning
    Zhang, Xian
    Liu, Chunyan
    Yang, Xiaona
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2024, 43 (08) : 4850 - 4868
  • [4] Further results on exponential stability of discrete-time BAM neural networks with time-varying delays
    Shu, Yanjun
    Liu, Xinge
    Wang, Fengxian
    Qiu, Saibing
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (11) : 4014 - 4027
  • [5] Exponential Stability Analysis for Discrete-Time Stochastic BAM Neural Networks with Time-Varying Delays
    Qin, Tiheng
    Pan, Quanxiang
    Chen, Yonggang
    ADVANCES IN NEURAL NETWORKS - ISNN 2010, PT 1, PROCEEDINGS, 2010, 6063 : 659 - +
  • [6] Global exponential stability of impulsive discrete-time neural networks with time-varying delays
    Xu, Honglei
    Chen, Yuanqiang
    Teo, Kok Lay
    APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (02) : 537 - 544
  • [7] Global exponential stability for BAM neural networks with time-varying delays
    Zong, Guangdeng
    Wu, Yanfeng
    Hou, Linlin
    2008 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-11, 2008, : 2500 - 2505
  • [8] Delay-Dependent Exponential Stability for Discrete-Time BAM Neural Networks with Time-Varying Delays
    Chen, Yonggang
    Bi, Weiping
    Wu, Yuanyuan
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2008, 2008
  • [9] Global exponential stability of discrete-time BAM neural networks with variable delays
    Liu, Xin-Ge
    Wu, Min
    Tang, Mei-Lan
    Liu, Xin-Bi
    2007 IEEE INTERNATIONAL CONFERENCE ON CONTROL AND AUTOMATION, VOLS 1-7, 2007, : 1259 - +
  • [10] Global exponential stability of fuzzy BAM neural networks with time-varying delays
    Zhang, Qianhong
    Luo, Wei
    CHAOS SOLITONS & FRACTALS, 2009, 42 (04) : 2239 - 2245