2.765

2022影响因子

(CJCR)

  • 中文核心
  • EI
  • 中国科技核心
  • Scopus
  • CSCD
  • 英国科学文摘

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

一类含有时变时滞的不确定中立型Hopfield神经网络的鲁棒稳定性判据

刘国权 周书民

刘国权, 周书民. 一类含有时变时滞的不确定中立型Hopfield神经网络的鲁棒稳定性判据. 自动化学报, 2013, 39(9): 1421-1430. doi: 10.3724/SP.J.1004.2013.01421
引用本文: 刘国权, 周书民. 一类含有时变时滞的不确定中立型Hopfield神经网络的鲁棒稳定性判据. 自动化学报, 2013, 39(9): 1421-1430. doi: 10.3724/SP.J.1004.2013.01421
LIU Guo-Quan, ZHOU Shu-Min. Robust Stability for a Class of Uncertain Hopfield Neural Networks of Neutral-type with Time-varying Delays. ACTA AUTOMATICA SINICA, 2013, 39(9): 1421-1430. doi: 10.3724/SP.J.1004.2013.01421
Citation: LIU Guo-Quan, ZHOU Shu-Min. Robust Stability for a Class of Uncertain Hopfield Neural Networks of Neutral-type with Time-varying Delays. ACTA AUTOMATICA SINICA, 2013, 39(9): 1421-1430. doi: 10.3724/SP.J.1004.2013.01421

一类含有时变时滞的不确定中立型Hopfield神经网络的鲁棒稳定性判据

doi: 10.3724/SP.J.1004.2013.01421
基金项目: 

国家自然科学基金(11065002);东华理工大学博士启动基金(DHBK2012201)资助

详细信息
    作者简介:

    刘国权 东华理工大学机械与电子工程学院讲师.主要研究方向为时滞系统和神经网络.E-mail: guoquanliu1982@hotmail.com

Robust Stability for a Class of Uncertain Hopfield Neural Networks of Neutral-type with Time-varying Delays

Funds: 

Supported by National Natural Science Foundation of China (11065002) and Doctoral Start-up Fund of East China Institute of Technology (DHBK2012201)

  • 摘要: 针对一类不确定中立型时变时滞Hopfield神经网络的鲁棒稳定性问题, 构造了一个新Lyapunov-Krasovskii泛函, 并结合自由矩阵方法和牛顿—莱布尼茨公式, 得到了新的时滞相关稳定性判据. 该判据考虑了中立型时变时滞Hopfield神经网络中的参数不确定性, 所得结果以线性矩阵不等式(Linear matrix inequality, LMI)的形式给出, 容易验证. 最后, 通过两个数值算例验证了该结果的有效性及可行性. 该判据对丰富与完善中立型神经网络的稳定性理论体系, 具有积极的意义.
  • [1] Wang Zhan-Shan. Stability Problem for Continuous-time Recurrent Neural Networks with Delays. Shenyang: Northeastern University Press, 2007 (王占山. 连续时间时滞递归神经网络的稳定性. 沈阳: 东北大学出版社, 2007)
    [2] Hou L L, Zong G D, Wu Y Q. Robust exponential stability analysis of discrete-time switched Hopfield neural networks with time delay. Nonlinear Analysis: Hybrid Systems, 2011, 5(3): 525-534
    [3] Zhang Q, Wei X P, Xu J. Delay-dependent global stability condition for delayed Hopfield neural networks. Nonlinear Analysis: Real World Applications, 2007, 8(3): 997-1002
    [4] Lian J, Zhang K, Feng Z. Stability analysis for switched Hopfield neural networks with time delay. Optimal Control Applications and Methods, 2012, 33(4): 433-444
    [5] Lisena B. Exponential stability of Hopfield neural networks with impulses. Nonlinear Analysis: Real World Applications, 2011, 12(4): 1923-1930
    [6] Liu W, Fu C J, Hu H C. Global exponential stability of a class of Hopfield neural networks with delays. Neural Computing and Applications, 2011, 20(8): 1205-1209
    [7] Shi P L, Dong L Z. Existence and exponential stability of anti-periodic solutions of Hopfield neural networks with impulses. Applied Mathematics and Computation, 2010, 216(2): 623-630
    [8] Ahn C K. An H∞ approach to stability analysis of switched Hopfield neural networks with time-delay. Nonlinear Dynamics, 2010, 60(4): 703-711
    [9] Gui Z J, Ge W G, Yang X S. Periodic oscillation for a Hopfield neural networks with neutral delays. Physics Letters A, 2007, 364(3-4): 267-273
    [10] Xiao B. Existence and uniqueness of almost periodic solutions for a class of Hopfield neural networks with neutral delays. Applied Mathematics Letters, 2009, 22(4): 528-533
    [11] Zong G D, Liu J, Zhang Y X, Hou L L. Delay-range-dependent exponential stability criteria and decay estimation for switched Hopfield neural networks of neutral type. Nonlinear Analysis: Hybrid Systems, 2010, 4(3): 583-592
    [12] Xu S Y, Lam J, Ho D W C, Zhou Y. Delay-dependent exponential stability for a class of neural networks with time delays. Journal of Computational and Applied Mathematics, 2005, 183(1): 16-28
    [13] Park J H, Kwon O M. Design of state estimator for neural networks of neutral-type. Applied Mathematics and Computation, 2008, 202(1): 360-369
    [14] Liao C W, Lu C Y. Passivity analysis for uncertain time-varying delayed neural networks with neutral type. In: Proceedings of the 2nd International Conference on Innovative Computing, Information and Control. Kumamoto, Japan: IEEE, 2007. 70
    [15] Mao X Z, Li X, Liu J P. New robust stability criterion for neural networks of neutral type with time-varying delays. In: Proceedings of the 4th International Conference on Natural Computation. Ji’nan, China: IEEE, 2008. 491-494
    [16] Zhu J, Zhang Q L, Yang C Y. Delay-dependent robust stability for Hopfield neural networks of neutral-type. Neurocomputing, 2009, 72(10-12): 2609-2617
    [17] Li Q P, Li W L. Exponential stability on a class of delayed neural networks of neutral type. In: Proceedings of the 29th Chinese Control Conference. Beijing, China: IEEE, 2010. 2402-2406
    [18] Mahmoud M S, Ismail A. Improved results on robust exponential stability criteria for neutral-type delayed neural networks. Applied Mathematics and Computation, 2010, 217(7): 3011-3019
  • 加载中
计量
  • 文章访问数:  1630
  • HTML全文浏览量:  94
  • PDF下载量:  1107
  • 被引次数: 0
出版历程
  • 收稿日期:  2012-05-15
  • 修回日期:  2012-12-19
  • 刊出日期:  2013-09-20

目录

    /

    返回文章
    返回