Stability of discrete-time hopfield neural networks with delays

被引:0
|
作者
Zhang, Qiang [1 ]
机构
[1] Dalian Univ, Liaoning Key Lab Intelligent Informat Proc, Dalian 116622, Peoples R China
关键词
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
By constructing a suitable Lyapunov functional and using the method of linear matrix inequality, a stability condition for global asymptotic stability of discrete-time Hopfield neural network with delays is provided. The condition obtained in this paper is simple in the form and easy to be verified in practice. A numeric simulation is given to show the efficiency of the result.
引用
收藏
页码:105 / 107
页数:3
相关论文
共 50 条
  • [1] On global exponential stability of discrete-time Hopfield neural networks with variable delays
    Zhang, Qiang
    Wei, Xiaopeng
    Xu, Jin
    [J]. DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2007, 2007
  • [2] Exponential stability of discrete-time hopfield neural networks
    Guo, SJ
    Huang, LH
    Wang, L
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2004, 47 (8-9) : 1249 - 1256
  • [3] Discrete-Time Counterparts of Impulsive Hopfield Neural Networks with Leakage Delays
    Akca, Haydar
    Covachev, Valery
    Covacheva, Zlatinka
    [J]. DIFFERENTIAL AND DIFFERENCE EQUATIONS WITH APPLICATI ONS, 2013, 47 : 351 - 358
  • [4] Asymptotic stability of second-order discrete-time Hopfield neural networks with variable delays
    Zhu, Wei
    Xu, Daoyi
    [J]. ADVANCES IN NEURAL NETWORKS - ISNN 2006, PT 1, 2006, 3971 : 261 - 266
  • [5] Global exponential stability of discrete time Hopfield neural networks with delays
    Zhang, Q
    Liu, WB
    Wei, XP
    [J]. ADVANCES IN NEURAL NETWORKS - ISNN 2005, PT 1, PROCEEDINGS, 2005, 3496 : 193 - 198
  • [6] Impulsive hybrid discrete-time Hopfield neural networks with delays and multistability analysis
    Kaslik, Eva
    Sivasundaram, Seenith
    [J]. NEURAL NETWORKS, 2011, 24 (04) : 370 - 377
  • [7] EXPONENTIAL STABILITY OF DISCRETE-TIME CELLULAR NEURAL NETWORKS WITH DELAYS
    Xia Fei Li Xuemei (Dept. of Math.
    [J]. Annals of Applied Mathematics, 2006, (03) : 388 - 393
  • [8] Global exponential stability of discrete-time Hopfield neural network models with unbounded delays
    Oliveira, Jose J.
    [J]. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2022, 28 (05) : 725 - 751
  • [9] Globally exponential stability of discrete-time cellular neural networks with discrete delays
    Ju, Peijun
    Zhang, Wei
    Liu, Guocai
    Tian, Li
    [J]. ICNC 2007: THIRD INTERNATIONAL CONFERENCE ON NATURAL COMPUTATION, VOL 1, PROCEEDINGS, 2007, : 188 - +
  • [10] Stability of Stochastic Discrete-Time Neural Networks with Discrete Delays and the Leakage Delay
    Hou, Liyuan
    Zhu, Hong
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2015, 2015