中国综合性科技类核心期刊(北大核心)

中国科学引文数据库来源期刊(CSCD)

美国《化学文摘》(CA)收录

美国《数学评论》(MR)收录

俄罗斯《文摘杂志》收录

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

高阶S-分布时滞细胞神经网络的全局鲁棒指数稳定性

马成荣

马成荣. 高阶S-分布时滞细胞神经网络的全局鲁棒指数稳定性[J]. 华东师范大学学报(自然科学版), 2011, (5): 12-20.
引用本文: 马成荣. 高阶S-分布时滞细胞神经网络的全局鲁棒指数稳定性[J]. 华东师范大学学报(自然科学版), 2011, (5): 12-20.
MA Cheng-rong. Global robust exponential stability of high-order cellular neural networks with S-type distributed delays[J]. Journal of East China Normal University (Natural Sciences), 2011, (5): 12-20.
Citation: MA Cheng-rong. Global robust exponential stability of high-order cellular neural networks with S-type distributed delays[J]. Journal of East China Normal University (Natural Sciences), 2011, (5): 12-20.

高阶S-分布时滞细胞神经网络的全局鲁棒指数稳定性

详细信息
  • 中图分类号: O175; O211

Global robust exponential stability of high-order cellular neural networks with S-type distributed delays

  • 摘要: 利用分析技巧, 通过构造恰当的Lebesgue-Stieltjes积分型Lyapunov泛函, 得到系统全局鲁棒指数稳定的充分条件, 判断方法简单. 最后给出一个实例, 以说明本文主要结论的有效性.
  • [1] {1} CHUA L O, YANG L. Cellular neural networks : theory[J] . IEEE Trans Circuits Systems, 1988, 35(10): 1257-1272.
    {2} CHUA L O, YANG L. Cellular neural networks: applications[J] . IEEE Trans Circuits Systems, 1988, 35(10): 1273-1290.
    {3} 谌新年, 刘国荣. 高阶时滞神经网络模型的全局指数稳定性[J]. 湖南大学学报, 2007, 34(6): 1000-1003.\\

    CHEN Xin-nian, LIU Guo-rong. Global exponential stability of higher-order hopfield type neural networks with delays[J]. Journal of Hunan University, 2007, 34(6): 1000-1003.
    {4} 张安彩, 张微微, 潘瑞芬, 等. 变时滞高阶\,Hopfield\,神经网络的全局指数稳定性\,[J]. 南通大学学报, 2007, 6(3): 28--31\\

    ZHANG An-cai, ZHANG Wei-wei, PAN Rui-fen, et al. Global exponential stability of high-order cellular neural networks with time-varying delays[J]. Journal of Nantong University, 2007, 6(3): 28-31.
    {5} CAO Jin-de, LIANG Jin-ling, LAM J. Exponential stability of high-order bidirectional associative memory neural networks with time delays[J]. Physica D: Nonlinear Phenomena, 2004, 199(3-4): 425-436.
    {6} QIU Fang, CUI Bao-tong, WU Wei. Global exponential stability of high order recurrent neural network with time-varying delays[J]. Applied Mathematical Modelling, 2009, 33(1): 198-210.
    {7} HUO H F, LI W T, TANG S. Dynamics of high-order BAM neural networks with and without impulses[J]. Applied Mathematics and Computation, 2009, 215(6): 2120-2133.
    {8} 梁霄, 王林山.一类S-分布时滞递归神经网络的全局吸引子[J]. 山东大学学报, 2009, 44(4): 1671-1680\\

    LIANG Xiao, WANG Linshan.Global attractor of a class of recurrent neural network with S-type distributed delays[J]. Journal of Shandong University, 2009, 44(4): 1671-1680.
    {9} DENG Jin,WANG Lin-shan, XU Dao-yi.Asymptotic Behaviour of Hopfield Neural Networks with S-type Distributed Delays[J].Journal of Sichuan University(Natural Sciences Edition), 2004, 41(1): 490-499.
    {10} WANG Lin-shan, ZHANG Ruo-jun, WANG Yang-fan. Global exponential stability of reaction-diffusion cellular neural networks with S-type distributed time delays[J]. Nonlinear Analysis: Real World Applications, 2009, 10(2): 1101-1113.
    {11} ZHANG Ruo-jun, WANG Lin-shan. Global exponential robust stability of interval cellular neural networks with S-type distributed delays[J]. Mathematical and Computer Modelling, 2009, 50(3--4): 380-385.
    {12} FORTI M, TESI A. New conditions for global stability of neural networks with application to linear and quadratic orogramming problems[J]. IEEE Trans Circuits Syst-I, 1995, 42(7): 354-366.
    {13} 马成荣.高阶S-分布时滞广义细胞神经网络的全局指数稳定性[J].生物数学学报, 2011, 26(3).\\

    MA Cheng-rong. Global exponential stability of high generalized cellular neural networks with S-type distributed delays[J].Journal of Biomathematics, 2011, 26(3).
  • 加载中
计量
  • 文章访问数:  2238
  • HTML全文浏览量:  16
  • PDF下载量:  286
  • 被引次数: 0
出版历程
  • 收稿日期:  2011-05-01
  • 修回日期:  2011-08-01
  • 刊出日期:  2011-09-25

目录

    /

    返回文章
    返回