无穷分布时滞神经网络的全局指数稳定性(英文)

阮锴; 蒋海军; 胡成

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无穷分布时滞神经网络的全局指数稳定性(英文)

数理科学 | 更新时间：2026-01-21

- 无穷分布时滞神经网络的全局指数稳定性(英文)
- 无穷分布时滞神经网络的全局指数稳定性(英文)
- 新疆大学学报（自然科学版中英文） 2014年31卷第2期页码：168-173
- 作者机构：
  
  新疆大学数学与系统科学学院
- 作者简介：
- 基金信息：
  
  Supported by the National Natural Science Foundation of People’s Republic of China(10961022,10901130 and 61164004);the Natural Science Foundation of Xinjiang(2010211A07)
- DOI：
  中图分类号： TP183
- 纸质出版：2014
- 稿件说明：
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[1]阮锴,蒋海军,胡成.无穷分布时滞神经网络的全局指数稳定性(英文)[J].新疆大学学报(自然科学版),2014,31(02):168-173.

阮锴, 蒋海军, 胡成. 无穷分布时滞神经网络的全局指数稳定性(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2014, 31(2): 168-173.
[1]阮锴,蒋海军,胡成.无穷分布时滞神经网络的全局指数稳定性(英文)[J].新疆大学学报(自然科学版),2014,31(02):168-173. DOI：

阮锴, 蒋海军, 胡成. 无穷分布时滞神经网络的全局指数稳定性(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2014, 31(2): 168-173. DOI：

摘要

通过同胚映射的理论和不等式技巧

研究了一类具有无穷分布时滞神经网络的平衡点的存在唯一性.并在此基础上

利用反证法和分析技巧给出了模型平衡点的全局指数稳定性的条件

这种方法与技巧不同于以往的文章.最后给出一个实例来验证理论结果的有效性.

Abstract

In this paper

the existence of unique equilibrium point of neural networks with infinite distributed delays is discussed by means of Homeomorphism theory and inequality technique. Then

some useful criteria for the globally exponential stability of this model are derived by way of contradiction and the analysis technique which are different from the methods employed in correspondingly previous works. Finally

an example is provided to illustrate the applicability of the result.

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Keywords

references

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