具有离散和分布时滞的随机基因神经网络的均方全局渐近稳定性(英文)

孟强; 蒋海军; 滕志东

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具有离散和分布时滞的随机基因神经网络的均方全局渐近稳定性(英文)

更新时间：2026-01-21

- 具有离散和分布时滞的随机基因神经网络的均方全局渐近稳定性(英文)
- Journal of Xinjiang University (Natural Science Edition in Chinese and English) Vol. 27, Issue 2, Pages: 148-155(2010)
- 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：
  CLC： O175.13
- Published：2010
- 稿件说明：
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[1]孟强,蒋海军,滕志东.具有离散和分布时滞的随机基因神经网络的均方全局渐近稳定性(英文)[J].新疆大学学报(自然科学版),2010,27(02):148-155+163.

孟强, 蒋海军, 滕志东. 具有离散和分布时滞的随机基因神经网络的均方全局渐近稳定性(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2010, 27(2): 148-155.
[1]孟强,蒋海军,滕志东.具有离散和分布时滞的随机基因神经网络的均方全局渐近稳定性(英文)[J].新疆大学学报(自然科学版),2010,27(02):148-155+163. DOI：

孟强, 蒋海军, 滕志东. 具有离散和分布时滞的随机基因神经网络的均方全局渐近稳定性(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2010, 27(2): 148-155. DOI：

摘要

研究了一类具有混合时滞的随机神经网络的均方稳定性问题.不同于其他已有的文章

混合时滞对描述基因神经网络的分子浓度更具有现实意义.基于李雅普诺夫稳定性理论和线性矩阵不等式条件

给出了随机基因神经网络的均方渐近稳定性条件.相关的例子证明了理论结果的有效性.

Abstract

This paper investigates mean square stability of genetic networks with discrete and distributed delay.Different from other papers

discrete and distributed delay is more realistic to describe the concentration of macromolecule for genetic networks.Based on the Lyapunov stability theory and linear matrix inequality(LMI)

sufficient conditions are given to ensure the mean square asymptotic stability of the stochastic genetic networks.An illustrative example is given to show the effective of the theoretical results.

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references

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