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

Author

Wenbing Zhang ; Yang Tang ; Xiaotai Wu ; Jian-an Fang

Author_Institution

Dept. of Math., Yangzhou Univ., Yangzhou, China

Volume

13

Issue

3

fYear

2014

fDate

Sept. 2014

Firstpage

336

Lastpage

342

Abstract

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.

Keywords

delays; genetics; stochastic processes; exponential stability problem; modified Halanay differential inequality; stochastic stability; switched genetic regulatory network; switching analysis; time varying delays; Delays; Genetics; Stability criteria; Stochastic processes; Switched systems; Switches; Exponential stability; stable subsystems; switched genetic regulatory networks; unstable subsystems;

fLanguage

English

Journal_Title

NanoBioscience, IEEE Transactions on

Publisher

ieee

ISSN

1536-1241

Type

jour

DOI

10.1109/TNB.2014.2327582

Filename

6824212