带有时变时滞的切换基因调控网络的稳定性

计算机工程与科学 ›› 2014, Vol. 36 ›› Issue (09): 1801-1805.

带有时变时滞的切换基因调控网络的稳定性

许成刚,许玉龙

（河南中医学院信息技术学院，河南郑州 450008）

收稿日期:2013-02-17 修回日期:2013-05-29 出版日期:2014-09-25 发布日期:2014-09-25

Stability of switched genetic regulatory #br# networks with time-varying delay

XU Chenggang,XU Yulong

(Institute of Information Technology,Henan University of Traditional Chinese Medicine,Zhengzhou 450008,China)

Received:2013-02-17 Revised:2013-05-29 Online:2014-09-25 Published:2014-09-25

摘要/Abstract

摘要：

研究了带有时变时滞的切换基因调控网络的稳定性问题。和现有关于切换基因调控网络结果不同的是，切换基因调控网络包括稳定子系统和不稳定子系统。利用平均驻时方法和线性矩阵不等式技术，得到了带有时变时滞的切换基因调控网络指数稳定的判据。最后的仿真实例验证了结果的有效性。

关键词: 基因调控网络, 随机稳定性, 平均驻时

Abstract:

The stability problem of switched genetic regulatory networks with timevarying delay is studied. Different from most existing results regarding the switched genetic regulatory networks, both stable and unstable subsystems are considered in the same model simultaneously. By using the average dwell time approach and the linear matrix inequalities (LMIs) technique, the stability criterion of switched genetic regulatory networks with timevarying delay is obtained. Finally, numerical example is given to illustrate the effectiveness of the obtained results.

Key words: genetic regulatory networks, stability, average dwell time

许成刚, 许玉龙. 带有时变时滞的切换基因调控网络的稳定性[J]. 计算机工程与科学, 2014, 36(09): 1801-1805.

XU Chenggang, XU Yulong. Stability of switched genetic regulatory #br# networks with time-varying delay [J]. Computer Engineering & Science, 2014, 36(09): 1801-1805.