Stochastic Stability of Switched Genetic Regulatory Networks With Time-Varying Delays

被引：29
|
作者：
Zhang, Wenbing [1 ]
Tang, Yang [2 ,3 ]
Wu, Xiaotai [4 ]
Fang, Jian-An [5 ]
机构：
[1] Yangzhou Univ, Dept Math, Yangzhou, Jiangsu, Peoples R China
[2] Potsdam Inst Climate Impact Res, D-14473 Potsdam, Germany
[3] Humboldt Univ, Inst Phys, D-12489 Berlin, Germany
[4] Anhui Polytech Univ, Dept Math, Wuhu 241000, Anhui, Peoples R China
[5] Donghua Univ, Sch Informat Sci & Technol, Shanghai 201620, Peoples R China
来源：
IEEE TRANSACTIONS ON NANOBIOSCIENCE | 2014年 / 13卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Exponential stability; stable subsystems; switched genetic regulatory networks; unstable subsystems; SYSTEMS; CELLS;
D O I：
10.1109/TNB.2014.2327582
中图分类号：
Q5 [生物化学];
学科分类号：
071010 ; 081704 ;
摘要：
This paper investigates the exponential stability problem of switched stochastic genetic regulatory networks (GRNs) with time-varying delays. Two types of switched systems are studied respectively: one is the stochastic switched delayed GRNs with only stable subsystems and the other is the stochastic switched delayed GRNs with both stable and unstable subsystems. By using switching analysis techniques and the modified Halanay differential inequality, new criteria are developed for the exponential stability of switched stochastic GRNs with time-varying delays. Finally, an example is given to illustrate the main results.
引用
收藏
页码：336 / 342
页数：7
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