Mean square global asymptotic stability of stochastic recurrent neural networks with distributed delays

被引:54
作者
Guo, Yingxin [1 ]
机构
[1] Qufu Normal Univ, Dept Math, Qufu 273165, Shandong, Peoples R China
基金
中国国家自然科学基金;
关键词
Stochastic neural networks with delays; Lyapunov functionals; Matrix inequality; Global asymptotic stability; EXPONENTIAL STABILITY; TIME-DELAYS; DISCRETE;
D O I
10.1016/j.amc.2009.06.002
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
By constructing suitable Lyapunov functionals and combining with matrix inequality technique, a new simple sufficient condition is presented for the global asymptotic stability in the mean square of delayed neural networks. (C) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码:791 / 795
页数:5
相关论文
共 15 条
  • [1] An analysis of global asymptotic stability of delayed cellular neural networks
    Arik, S
    [J]. IEEE TRANSACTIONS ON NEURAL NETWORKS, 2002, 13 (05): : 1239 - 1242
  • [2] Global stability of almost periodic solutions of Hopfield neural networks with neutral time-varying delays
    Bai, Chuanzhi
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2008, 203 (01) : 72 - 79
  • [3] Stability of stochastic delay neural networks
    Blythe, S
    Mao, XR
    Liao, XX
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2001, 338 (04): : 481 - 495
  • [4] Dynamical behaviors of a large class of general delayed neural networks
    Chen, TP
    Lu, WL
    Chen, GR
    [J]. NEURAL COMPUTATION, 2005, 17 (04) : 949 - 968
  • [5] Exponential stability analysis of stochastic delayed cellular neural network
    Hu, J
    Zhong, SM
    Liang, L
    [J]. CHAOS SOLITONS & FRACTALS, 2006, 27 (04) : 1006 - 1010
  • [6] Global eponential stability of cellular neural networks with time-varying coefficients and delays
    Jiang, HJ
    Teng, ZD
    [J]. NEURAL NETWORKS, 2004, 17 (10) : 1415 - 1425
  • [7] Exponential stability and instability of stochastic neural networks
    Liao, XX
    Mao, X
    [J]. STOCHASTIC ANALYSIS AND APPLICATIONS, 1996, 14 (02) : 165 - 185
  • [8] LU JX, MEAN SQUARE EXPONENT, DOI DOI 10.1016/J.CHAOS.2007.08.053
  • [9] LMI conditions for stability of stochastic recurrent neural networks with distributed delays
    Rakkiyappan, R.
    Balasubramaniam, P.
    [J]. CHAOS SOLITONS & FRACTALS, 2009, 40 (04) : 1688 - 1696
  • [10] Dynamics of a two-neuron system with discrete and distributed delays
    Ruan, SG
    Filfil, RS
    [J]. PHYSICA D-NONLINEAR PHENOMENA, 2004, 191 (3-4) : 323 - 342