Delay-dependent asymptotic stability criteria for genetic regulatory networks with impulsive perturbations

被引：31

作者：

Senthilraj, S. ^{[1
]}

Raja, R. ^{[2
]}

Zhu, Quanxin ^{[3
,4
,5
]}

Samidurai, R. ^{[1
]}

Zhou, Hongwei ^{[6
]}

机构：

[1] Thiruvalluvar Univ, Dept Math, Vellore 632115, Tamil Nadu, India

[2] Alagappa Univ, Ramanujan Ctr Higher Math, Karaikkudi 630004, Tamil Nadu, India

[3] Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Jiangsu, Peoples R China

[4] Nanjing Normal Univ, Inst Finance & Stat, Nanjing 210023, Jiangsu, Peoples R China

[5] Univ Bielefeld, Dept Math, D-33615 Bielefeld, Germany

[6] Nanjing Xiaozhuang Univ, Sch Informat Engn, Nanjing 211171, Jiangsu, Peoples R China

来源：

NEUROCOMPUTING | 2016年 / 214卷

基金：

中国国家自然科学基金;

关键词：

Asymptotic stability; Genetic regulatory network; Impulse; Lyapunov-Krasovskii functional; Linear matrix inequality; TIME-VARYING DELAYS; ROBUST STABILITY; STATE ESTIMATION;

D O I：

10.1016/j.neucom.2016.07.018

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

This paper considers the problem for asymptotic stability of genetic regulatory networks with impulse control using the delay partitioning approach. By using the direct Lyapunov method, a new Lyapunov-Krasovskii functional is introduced based on the decomposition approach. Time delays here are assumed to be time-varying and belong to the given intervals. When dealing with the time derivative of Lyapunov functional, a new tight integral inequality is adopted for bounding the cross terms. Then, a new less conservative delay-dependent stability criterion is formulated in terms of linear matrix inequalities (LMIs), which can be easily solved by the Matlab LMI toolbox. Finally, the proposed method is validated through the numerical simulation, which shows the effectiveness of the presented stability criteria. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：981 / 990

页数：10

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