一类新的基因调控网络的稳定性分析方法  

A new stability analysis method of genetic regulatory networks

作　　者：李玉榕[1,2] 朱延正[1,2] 曾念寅[1,2] 杜民[2] 

机构地区：[1]福州大学电气工程与自动化学院,福建福州350108 [2]福建省医疗器械与医药技术重点实验室,福建福州350002

出　　处：《福州大学学报（自然科学版）》2011年第5期693-698,共6页Journal of Fuzhou University(Natural Science Edition)

基　　金：科技部国际合作资助项目(2009DFA32050);福建省自然科学基金资助项目(2009J01280)

摘　　要：借助M-矩阵理论分析了含时变时滞的基因调控网络的渐进稳定与指数稳定性问题.首先利用递归神经网络建立基因调控网络模型,通过选取合适的Lyapunov函数,根据M-矩阵知识推导出使网络稳定的充分条件,最后通过实例验证了此方法的有效性及简便性.This paper addresses global asymptotic and exponential stability of genetic regulatory networks with time-varying delays based on M-matrix theory.Firstly,a time-varying delayed genetic regulatory network in the view of recurrent neural network is established,and then by selecting an appropriate Lyapunov-Krasovskii function,the sufficient conditions of its stability are derived with M-matrix theory.Finally,the effectiveness and simplicity of the proposed method is turned out by numerical example.

关 键 词：递归神经网络 基因调控网络 M-矩阵 时变时滞 指数稳定性 

分 类 号：TP11[自动化与计算机技术—控制理论与控制工程]