Novel delay-dependent stability criterion for uncertain genetic regulatory networks with interval time-varying delays

被引：17

作者：

Wang, Wenqin ^{[1
]}

Zhong, Shouming ^{[1
,2
]}

Nguang, Sing Kiong ^{[3
]}

Liu, Feng ^{[2
,4
]}

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

[3] Univ Auckland, Dept Elect & Comp Engn, Auckland 92019, New Zealand

[4] Univ Elect Sci & Technol China, Sch Life Sci & Technol, Chengdu 611731, Sichuan, Peoples R China

来源：

NEUROCOMPUTING | 2013年 / 121卷

关键词：

Genetic regulatory network; Parameter uncertainty; Time-varying delay; Lyapunov-Krasovskii functional; Linear matrix inequality; H-INFINITY CONTROL; ROBUST STABILITY; EXPONENTIAL STABILITY; STOCHASTIC STABILITY; NEURAL-NETWORKS; DISCRETE;

D O I：

10.1016/j.neucom.2013.04.034

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

This study is concerned with the problem of robust stability analysis for uncertain genetic regulatory networks with interval time-varying delays. In order to obtain less conservative conditions, a new approach is introduced by improving Lyapunov-Krasovskii functional together with the free-weighting matrices. Besides, we use the series compensation technique and Jensen inequality lemma to get the new stability criteria. Furthermore, the criteria can be applicable to both fast and slow time-varying delays. Finally, numerical examples are presented to illustrate the effectiveness and advantages of the theoretical results. (C) 2013 Elsevier B.V. All rights reserved.

引用

页码：170 / 178

页数：9

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