Asymptotic Stability Analysis of Genetic Regulatory Networks with Time-varying Delay

被引：8

作者：

Li, Hongjie ^{[1
]}

Yang, Xiaochun ^{[1
]}

机构：

[1] Jiaxing Univ, Coll Math & Informat Engn, Jiaxing 314001, Zhejiang, Peoples R China

来源：

2010 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-5 | 2010年

关键词：

Genetic regulatory network; Asymptotic stability; Time-varying delays; Linear matrix inequality(LMI); H-INFINITY CONTROL; ROBUST STABILITY; NEURAL-NETWORKS; SYSTEMS; UNCERTAINTY; DISCRETE; NOISE;

D O I：

10.1109/CCDC.2010.5498985

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 presents a analysis approach to asymptotic stability of the genetic regulatory networks with interval time-varying delays, the delays play an important role in dynamics of genetic networks and cannot be ignored in the modeling of genetic regulation due to slow biochemical reactions. The free weighting matrices are employed to deal with cross product items, and the convexity of the matrix function is fully utilized in our proof to obtain less conservativeness, by utilizing some techniques, both the upper and lower bounds of the delays are brought into final stability conditions. Based on the Lyapunov stability theory and linear matrix inequality, sufficient conditions are given to ensure the asymptotic stability of the genetic regulatory networks, the obtained conditions are derived in terms of LMIs which are easy to be verified via the LMI toolbox. Illustrative examples are provided to show the effectiveness of our proposed method.

引用

页码：566 / 571

页数：6

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