Mean square exponential stability of stochastic high-order Hopfield neural networks with time-varying delays

被引:0
|
作者
Shi, Xiangdong [1 ]
机构
[1] Wuzhou Univ, Sch Math & Phys, Wuzhou 543002, Peoples R China
关键词
Stochastic delay; High-order Hopfield neural networks; Mean square exponential stability; Linear matrix inequality; Lyapunov functional; time-varying delays;
D O I
10.4028/www.scientific.net/AMM.303-306.1532
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In the paper, by employing the linear matrix inequality(LMI) and the Lyapunov functional methods, we present some new criteria ensuring globally mean square exponential stability. The results are applicable to all continuous non-monotonic neuron activation functions.
引用
收藏
页码:1532 / 1535
页数:4
相关论文
共 50 条
  • [1] Mean square exponential stability in high-order stochastic impulsive neural networks with time-varying delays
    Gu H.
    Jiang H.
    Teng Z.
    [J]. Journal of Applied Mathematics and Computing, 2009, 30 (1-2) : 151 - 170
  • [2] Mean square exponential stability in high-order stochastic impulsive BAM neural networks with time-varying delays
    Cu, Haibo
    [J]. NEUROCOMPUTING, 2011, 74 (05) : 720 - 729
  • [3] Mean square exponential stability of uncertain Stochastic hopfield neural networks with interval time-varying delays
    Qiu, Jiqing
    Yang, Hongjiu
    Xia, Yuanqing
    Zhang, Jinhui
    [J]. ADVANCED INTELLIGENT COMPUTING THEORIES AND APPLICATIONS, PROCEEDINGS: WITH ASPECTS OF ARTIFICIAL INTELLIGENCE, 2007, 4682 : 110 - 119
  • [4] Mean square exponential stability of stochastic fuzzy Hopfield neural networks with discrete and distributed time-varying delays
    Li, Hongyi
    Chen, Bing
    Lin, Chong
    Zhou, Qi
    [J]. NEUROCOMPUTING, 2009, 72 (7-9) : 2017 - 2023
  • [5] Mean-square exponential stability of stochastic Hopfield neural networks with time-varying discrete and distributed delays
    Ma, Li
    Da, Feipeng
    [J]. PHYSICS LETTERS A, 2009, 373 (25) : 2154 - 2161
  • [6] Global Robust Exponential Stability of Uncertain Neutral High-Order Stochastic Hopfield Neural Networks with Time-Varying Delays
    Gan, Qintao
    Xu, Rui
    [J]. NEURAL PROCESSING LETTERS, 2010, 32 (01) : 83 - 96
  • [7] Global Robust Exponential Stability of Uncertain Neutral High-Order Stochastic Hopfield Neural Networks with Time-Varying Delays
    Qintao Gan
    Rui Xu
    [J]. Neural Processing Letters, 2010, 32 : 83 - 96
  • [8] Mean square exponential stability of stochastic cellular neural networks with time-varying delays
    Huang, Chuangxia
    He, Yigang
    Zhang, Ying
    [J]. 2007 SECOND INTERNATIONAL CONFERENCE ON BIO-INSPIRED COMPUTING: THEORIES AND APPLICATIONS, 2007, : 131 - +
  • [9] MEAN SQUARE EXPONENTIAL STABILITY OF GENERALIZED STOCHASTIC NEURAL NETWORKS WITH TIME-VARYING DELAYS
    Yu, Jianjiang
    Zhang, Kanjian
    Fei, Shumin
    [J]. ASIAN JOURNAL OF CONTROL, 2009, 11 (06) : 633 - 642
  • [10] Exponential stability of impulsive high-order Hopfield-type neural networks with time-varying delays
    Liu, XZ
    Teo, KL
    Xu, BJ
    [J]. IEEE TRANSACTIONS ON NEURAL NETWORKS, 2005, 16 (06): : 1329 - 1339