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

有噪及无噪的时滞细胞神经网络稳定性分析

张雪娟 王冠香 刘华

张雪娟, 王冠香, 刘华. 有噪及无噪的时滞细胞神经网络稳定性分析[J]. 应用数学和力学, 2008, 29(11): 1293-1302.
引用本文: 张雪娟, 王冠香, 刘华. 有噪及无噪的时滞细胞神经网络稳定性分析[J]. 应用数学和力学, 2008, 29(11): 1293-1302.
ZHANG Xue-juan, WANG Guan-xiang, LIU Hua. Stability Analysis of Delayed Cellular Neural Networks With and Without Noise Perturbation[J]. Applied Mathematics and Mechanics, 2008, 29(11): 1293-1302.
Citation: ZHANG Xue-juan, WANG Guan-xiang, LIU Hua. Stability Analysis of Delayed Cellular Neural Networks With and Without Noise Perturbation[J]. Applied Mathematics and Mechanics, 2008, 29(11): 1293-1302.

有噪及无噪的时滞细胞神经网络稳定性分析

基金项目: 国家自然科学基金资助项目(10771155);全国优秀博士学位论文作者专项基金资助项目
详细信息
    作者简介:

    张雪娟(1972- ),女,浙江绍兴人,教授,博士;王冠香(1964- ),男,教授,博士,博士生导师(联系人.E-mail:gxwang@math.pku.edu.cn).

  • 中图分类号: O175;O221

Stability Analysis of Delayed Cellular Neural Networks With and Without Noise Perturbation

  • 摘要: 分析了一类时滞细胞神经网络(DCNN)系统在无噪声和有噪声干扰情况下的稳定性.首先针对确定性系统给出了一种简单且容易验证的全局指数稳定性条件,然后讨论了噪声干扰下系统的稳定性.当DCNN被外部噪声扰动时,系统是全局稳定的.重要的是,当系统被内在噪声扰动时,只要噪声总强度控制在一定范围内,系统是全局指数稳定的.鉴于随机共振现象在越来越多的非线性生物系统中被发现,这种稳定性具有重要意义.
  • [1] Chua L O,Yang L.Cellular neural networks: theory[J].IEEE Trans Circuits and Systems,1988,35(10):1257-1272. doi: 10.1109/31.7600
    [2] Chua L O,Yang Y.Cellular neural networks:applications[J].IEEE Trans Circuits and Systems,1988,35(10):1273-1290. doi: 10.1109/31.7601
    [3] Roska T,Chua L O.Cellular neural networks with nonlinear and delay-type template elements and nonuniform grids[J].International Journal of Circuit Theory and Applications,1992,20(5):469-481. doi: 10.1002/cta.4490200504
    [4] Roska T,Wu C W,Balsi M,et al.Stability and dynamics of delay-type general and cellular neural networks[J].IEEE Transactions on Circuits and Systems—Ⅰ: Fundamental Theory and Applications,1992,39(6):487-490. doi: 10.1109/81.153647
    [5] Cilli P P,Gilli M.On stability of cellular neural networks with delay [J].IEEE Transactions on Circuits and Systems—Ⅰ: Fundamental Theory and Applications,1993,40(3):157-165. doi: 10.1109/81.222796
    [6] Gilli M.Stability of cellular neural networks and delayed cellular neural networks with nonpositive templates and nonmonotonic output functions[J].IEEE Transactions on Circuits and Systems—Ⅰ: Fundamental Theory and Applications,1994,41(8):518-528. doi: 10.1109/81.311541
    [7] Lu H,He Y,He Z.A chaos-generator: analyses of complex dynamics of a cell equation in delayed cellular neural networks[J].IEEE Transactions on Circuits and Systems—Ⅰ:Fundamental Theory and Applications,1998,45(2):178-181. doi: 10.1109/81.661687
    [8] Zhou D,Cao J.Globally exponential stability conditions for cellular neural networks with time-varying delay[J].Applied Mathematics and Computation,2002,131(2/3):487-496. doi: 10.1016/S0096-3003(01)00162-X
    [9] Cao J.Global stability analysis in delayed cellular neural networks[J].Phys Rev E,1999,59(5):5940-5944. doi: 10.1103/PhysRevE.59.5940
    [10] Cao J.A set of stability criteria for delayed cellular neural networks[J].IEEE Transactions on Circuits and Systems—Ⅰ: Fundamental Theory and Applications,2001,48(4):494-498. doi: 10.1109/81.917987
    [11] Zhang Y,Pheng A H,Kwong S L.Convergence analysis of cellular neural networks with unbounded delay[J].IEEE Transactions on Circuits and Systems—Ⅰ: Fundamental Theory and Applications,2001,48(6):680-687. doi: 10.1109/81.928151
    [12] Zhang Y,Heng P A,Vadakkepat P.Absolute periodicity and absolute stability of neural networks with delays[J].IEEE Transactions on Circuits and Systems—Ⅰ:Fundamental Theory and Applications,2002,49(2):256-261. doi: 10.1109/81.983875
    [13] Dunkel J,Hilbert S,Schimansky-Geier L,et al.Stochastic resonance in biological nonlinear evolution models[J].Phys Rev E,2004,69(5):056118,13. doi: 10.1103/PhysRevE.69.056118
    [14] Machura L,Kostur M,Talkner P,et al.Brownian motors: current fluctuations and rectification efficiency[J].Phys Rev E,2004,70(6):061105,8. doi: 10.1103/PhysRevE.70.061105
    [15] Reimann P.Brownian motors:noisy transport far from equilibrum[J].Physics Reports,2002,361(2/4):257-265.
  • 加载中
计量
  • 文章访问数:  2645
  • HTML全文浏览量:  146
  • PDF下载量:  731
  • 被引次数: 0
出版历程
  • 收稿日期:  2008-04-08
  • 修回日期:  2008-08-28
  • 刊出日期:  2008-11-15

目录

    /

    返回文章
    返回