Delay-dependent stability for Markovian genetic regulatory networks with time-varying delays

被引：7

作者：

Zhang, Baoyong ^{[1
]}

Xu, Shengyuan ^{[1
]}

Chu, Yuming ^{[2
]}

Zong, Guangdeng ^{[3
]}

机构：

[1] Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Jiangsu, Peoples R China

[2] Huzhou Teachers Coll, Dept Math, Huzhou 313000, Peoples R China

[3] Qufu Normal Univ, Inst Automat, Qufu 273165, Peoples R China

来源：

ASIAN JOURNAL OF CONTROL | 2012年 / 14卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Delay-dependent conditions; genetic regulatory networks; Markovian jump parameters; stochastic stability; ROBUST STABILITY; CRITERIA;

D O I：

10.1002/asjc.407

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper is concerned with the problem of stochastic stability analysis for a class of genetic regulatory networks with Markovian jump parameters and time-varying delays. A delay-dependent stability criterion is derived by using a novel mode-dependent Lyapunov functional. The derived stability criterion is expressed in terms of linear matrix inequalities and is less conservative than the existing ones in the literature. A numerical example is provided to demonstrate the effectiveness of the proposed stability criterion. Copyright (c) 2011 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society

引用

页码：1403 / 1406

页数：4

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