The Asymptotic Stability of Networks with Leakage Delays

Xie Zu-wei; PENG Shi-guo; Luo Ying-hua

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The Asymptotic Stability of Networks with Leakage Delays

更新时间：2026-05-27

- The Asymptotic Stability of Networks with Leakage Delays
- Vol. 26, Issue 1, Pages: 13(2009)
- 作者机构：
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- Online First：01 January 2009，
  
  Published：2009
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谢祖伟, 彭世国, 罗营华. 带有Leakage时滞脉冲神经网络的渐近稳定性[J]. 广东工业大学学报, 2009, 26(1): 13.

Xie Zu-wei, PENG Shi-guo, Luo Ying-hua. The Asymptotic Stability of Networks with Leakage Delays[J]. 2009, 26(1): 13.
谢祖伟, 彭世国, 罗营华. 带有Leakage时滞脉冲神经网络的渐近稳定性[J]. 广东工业大学学报, 2009, 26(1): 13. DOI：

Xie Zu-wei, PENG Shi-guo, Luo Ying-hua. The Asymptotic Stability of Networks with Leakage Delays[J]. 2009, 26(1): 13. DOI：

摘要

讨论带有Leakage时滞的Hopfield神经网络的渐近稳定性

在非线形激励函数满足Lipschtz条件的假设下

通过构建Lyapunov泛函、Dini导数和分析技巧

建立起这一类Hopfield神经网络的渐近稳定性的易于验证的判定依据.

Abstract

The asymptotic stability of Hopfield networks with leakage delays is studied.Under the assumption that the nonliear stimulating function meets the needs of Lipschitz

by means of constructing suitable Liapunov function

Dini’s derivative and functional analysis techniques

some simpler criteria for asymptotic stability of the unique equilibrium are established.

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references

杨志春,徐道义. 具有变时滞和脉冲效应的Hopfield神经网络的全局指数稳定性[J]. 应用数学和力学. 2006(11)

王林山,徐道义. Hopfield型时滞神经网络的稳定性分析[J]. 应用数学和力学. 2002(01)

蒲志林,徐道义. 时滞Hopfield神经网络模型的全局吸引性和全局指数稳定性[J]. 应用数学和力学. 2001(06)

廖晓昕,肖冬梅. 具有变时滞的Hopfield型神经网络的全局指数稳定性[J]. 电子学报. 2000(04)

廖晓昕著.动力系统的稳定性理论和应用[M]. 国防工业出版社, 2000

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Related Institution

School of Mathematics and Statistics, Guangdong University of Technology

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