Robust stability for genetic regulatory networks with linear fractional uncertainties

被引：29

作者：

Zhang, Wenbing ^{[1
]}

Fang, Jian-an ^{[1
]}

Tang, Yang ^{[2
,3
,4
]}

机构：

[1] Donghua Univ, Sch Informat Sci & Technol, Shanghai 201620, Peoples R China

[2] Harbin Inst Technol, Inertial Technol Res Ctr, Harbin 150001, Peoples R China

[3] Humboldt Univ, Inst Phys, Berlin, Germany

[4] Potsdam Inst Climate Impact Res, Potsdam, Germany

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2012年 / 17卷 / 04期

基金：

美国国家科学基金会;

关键词：

Genetic regulatory networks (GRNs); Linear matrix inequality (LMI); Asymptotic stability; Lyapunov functional; Stochastic perturbations; Linear fractional uncertainties; STOCHASTIC STABILITY; SYNCHRONIZATION;

D O I：

10.1016/j.cnsns.2011.09.026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the asymptotic stability analysis problem for a class of delayed generic regulatory networks (GRNs) with linear fractional uncertainties and stochastic perturbations is studied. By employing a more effective Lyapunov functional and using a lemma to estimate the derivative of the Lyapunov functional, some new sufficient conditions for the stability problem of GRNs are derived in terms of linear matrix inequality (LMI). Finally, two numerical examples are used to demonstrate the usefulness of the main results and less conservatism of the derived conditions. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：1753 / 1765

页数：13

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