一类带有时滞的非自治Cohen-Grossberg神经网络周期解的存在性和全局指数稳定性（英文）

李洪飞; 蒋海军; 胡成

doi:10.13568/j.cnki.651094.2015.04.006

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一类带有时滞的非自治Cohen-Grossberg神经网络周期解的存在性和全局指数稳定性（英文）

更新时间：2026-01-21

- 一类带有时滞的非自治Cohen-Grossberg神经网络周期解的存在性和全局指数稳定性（英文）
- Journal of Xinjiang University (Natural Science Edition in Chinese and English) Vol. 32, Issue 4, Pages: 418-426(2015)
- 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：
- DOI：10.13568/j.cnki.651094.2015.04.006
  CLC： O175
- Published：2015
- 稿件说明：
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[1]李洪飞,蒋海军,胡成.一类带有时滞的非自治Cohen-Grossberg神经网络周期解的存在性和全局指数稳定性（英文）[J].新疆大学学报(自然科学版),2015,32(04):418-426.
[1]李洪飞,蒋海军,胡成.一类带有时滞的非自治Cohen-Grossberg神经网络周期解的存在性和全局指数稳定性（英文）[J].新疆大学学报(自然科学版),2015,32(04):418-426. DOI： 10.13568/j.cnki.651094.2015.04.006.

DOI：10.13568/j.cnki.651094.2015.04.006.

摘要

提出了一类带有时滞的非自治的ohen-Grossberg神经网络模型.通过利用构造合适的lyapunov泛函的方法和运用不等式的技巧

得到了该模型的周期解存在性和稳定性的充分条件.并通过数值模拟验证了主要结果的可行性和理论结果的有效性.

Abstract

In this paper

a mathematical model of nonautonomous Cohen-Grossberg neural networks with delays is proposed by constructing appropriate Lyapunov functional and using some inequality techniques. Su?cient condition is given to guarantee existence and global exponential stability of periodic solutions for Cohen-Grossberg neural networks with delays. Furthermore

an example is given to demonstrate the e?ectiveness of the theoretical results.

关键词

Keywords

references

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