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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
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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

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