具有变时滞的随机基因调控网络的指数稳定性分析(英文)

谢洪利; 蒋海军

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具有变时滞的随机基因调控网络的指数稳定性分析(英文)

数理科学 | 更新时间：2026-01-21

- 具有变时滞的随机基因调控网络的指数稳定性分析(英文)
- 具有变时滞的随机基因调控网络的指数稳定性分析(英文)
- 新疆大学学报（自然科学版中英文） 2011年28卷第4期页码：433-438
- 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 P.R.China(60764003);the Natural Science Foundation of Xinjiang(2010211A07);the Scientific Research Programmes of Colleges in Xinjiang(XJEDU2007G01)
- DOI：
  中图分类号： O175.13
- 纸质出版：2011
- 稿件说明：
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[1]谢洪利,蒋海军.具有变时滞的随机基因调控网络的指数稳定性分析(英文)[J].新疆大学学报(自然科学版),2011,28(04):433-438.

谢洪利, 蒋海军. 具有变时滞的随机基因调控网络的指数稳定性分析(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2011, 28(4): 433-438.
[1]谢洪利,蒋海军.具有变时滞的随机基因调控网络的指数稳定性分析(英文)[J].新疆大学学报(自然科学版),2011,28(04):433-438. DOI：

谢洪利, 蒋海军. 具有变时滞的随机基因调控网络的指数稳定性分析(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2011, 28(4): 433-438. DOI：

摘要

考虑了具有变时滞的随机基因调控网络指数稳定性问题

采用了Lyapunov泛函的方法和Halanay-type不等式技巧

并进行了一些随机分析

得到了随机基因调控网络Pth指数稳定的充分条件.本文中得到的结果与以前出版的文章中的结果相比更具有一般性.最后

通过一个数值例子来说明本文所得结果的有用性.

Abstract

In this paper

we investigate the exponential stability problem of stochastic genetic networks with timevarying delays.By applying the method of Lyapunov

Halanay-type inequality techniques and conducting some stochastic analysis

several su?cient conditions ensuring Pth moment exponential stability are obtained.Results of the development as presented in this brief are more general than those reported in some previously published papers.An example is also given to show the usefulness of the proposed result.

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references

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