journal6 ›› 2012, Vol. 33 ›› Issue (4): 37-40.DOI: 10.3969/j.issn.1007-2985.2012.04.008

• 数学 • 上一篇    下一篇

离散分布时滞随机神经网络的稳定性

  

  1. (阜阳师范学院信息工程学院,安徽 阜阳 236041)
  • 出版日期:2012-07-25 发布日期:2012-09-11
  • 作者简介:康卫(1985-),男,亳州利辛人,阜阳师范学院信息工程学院教师,硕士,主要从事神经网络及控制理论研究.
  • 基金资助:

    安徽省青年人才基金资助项目(2010SQRL196);阜阳师范学院校级资助项目(2011FSKJ14)

Stability of Stochastic Neural Networks with Discrete and Distributed Time-Varying Delays

  1.  (College of iInformation Engineering,Fuyang Teachers College,Fuyang 236041,China)
  • Online:2012-07-25 Published:2012-09-11

摘要:主要研究了具有分布时滞的随机系统的全局指数鲁棒稳定性,依据李雅普诺夫方法和线性矩阵不等式的方法,得到了参数不确定时滞相关的全局均方指数稳定性准则,数值实例演示证明其结果的有效性和可行性.

关键词: 神经网络, 离散分布时滞, 指数稳定, 线性矩阵不等式

Abstract: The global exponential stability of stochastic neural networks with discrete and distributed time-varying delays is investigated.According to the Lyapunov stability theory and LMIs approaches,delay-dependent criteria are derived to ensure the global robust exponential stability of the addressed system in the mean square for all admissible parameter uncertainties.A numerical example is given to illustrate the effectiveness of the results obtained.

Key words: neural network, discrete and distributed time-varying delays, exponential stability, LMIS

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