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离散时间神经网络的全局指数稳定性 被引量：1

Global exponential stability of discrete-time neural networks
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摘要 研究了离散时间神经网络的全局指数稳定性问题.利用Liapunov函数法,得到了判断离散时间神经网络全局指数稳定性的一个新的充分条件. In this paper,the global exponential stability of discrete-time neural networks is discussed. By the Lyapunov function method,a new sufficient condition is given for the global exponential stability of discrete-time neural networks.
作者 夏飞 李雪梅
机构地区 湖南师范大学数学与计算机科学学院
出处 《内蒙古师范大学学报（自然科学汉文版）》 CAS 2006年第1期12-16,共5页 Journal of Inner Mongolia Normal University(Natural Science Edition)
基金 国家自然科学基金资助项目(10371034)
关键词 离散神经网络 LIAPUNOV函数 时滞 全局指数稳定 discrete-time neural network global exponential stability delays the Lyapunov function
分类号 O175.13 [理学—基础数学]
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参考文献21

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同被引文献10

  • 1Hopfield J. Neurons with graded response have collective computational properties like those of two-stage neurons [J]. Proc Nat Acad Sci U S A,1984,81:3088-3092.
  • 2Tianping chen. Shun-ichi Amari. Unified stabilization approach to principal and minor components extraction algorithms [J]. Neural Networks,2001. 14(10) : 1377-1387.
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  • 9Saber N Elaydi. Stability of Volterra difference equations of convolution type [M] Singapore:World Scientific, 1993.
  • 10Lasalle J P. The stability of dynamical systems [M]. SIAM,Philadelphia,PA, 1976.

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内蒙古师范大学学报（自然科学汉文版）
2006年 第1期

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