Delay-dependent stability criteria for genetic regulatory networks with time-varying delays and nonlinear disturbance

被引：44

作者：

Wang, Wenqin ^{[1
]}

Zhong, Shouming ^{[2
]}

机构：

[1] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China

[2] Univ Elect Sci & Technol China, Key Lab NeuroInformat, Minist Educ, Chengdu 611731, Sichuan, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2012年 / 17卷 / 09期

关键词：

Genetic regulatory network; Nonlinear disturbance; Time-varying delay; Uncertain system; Lyapunov-Krasovskii functional; H-INFINITY CONTROL; EXPONENTIAL STABILITY; LMI APPROACH; ROBUST STABILITY; SYSTEMS; EXPRESSION; INFERENCE; NOISE;

D O I：

10.1016/j.cnsns.2011.12.024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents the robust stability of genetic regulatory networks with time-varying delays and nonlinear disturbance. By choosing an appropriate new Lyapunov functional, a new delay-dependent stability criteria is obtained and formulated in terms of linear matrix inequalities (LMIs). The resulting criterion has advantages over some previous ones in that it involves fewer matrix variables but has less conservatism. Finally, numerical examples are presented to illustrate the effectiveness of the theoretical results. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：3597 / 3611

页数：15

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