GLOBAL EXPONENTIAL STABILITY ANALYSIS OF DISCRETE-TIME GENETIC REGULATORY NETWORKS WITH TIME DELAYS

被引：10

作者：

Li, Yanjiang ^{[1
]}

Zhang, Xian ^{[1
]}

Tan, Chong ^{[2
]}

机构：

[1] Heilongjiang Univ, Sch Math Sci, Harbin 150080, Peoples R China

[2] Harbin Inst Technol, Sch Astronaut, Harbin 150080, Peoples R China

来源：

ASIAN JOURNAL OF CONTROL | 2013年 / 15卷 / 05期

关键词：

Discrete-time genetic regulatory network; global robust exponential stability; M-matrix; time-invariant delays; time-varying delays; ROBUST STABILITY; VARYING DELAYS; SYSTEMS; UNCERTAINTIES; CRITERIA;

D O I：

10.1002/asjc.751

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 focuses on the study of global robust exponential stability of discrete-time genetic regulatory networks (GRNs) with time-invariant/time-varying delays and parameter uncertainties. Many existing results on this problem are based on the linear matrix inequality (LMI) approach, which needs to verify whether there exists a feasible solution of a set of LMIs. Along with the increase in the number of genes, dimensions of LMIs will increase accordingly, which will lead to a large amount of calculation. Based on M-matrix theory, sufficient conditions ensuring the global robust exponential stability of a class of discrete-time GRNs with time-invariant/time-varying delays and parameter uncertainties are presented. These given conditions are to check whether a constructed constant matrix is a nonsingular M-matrix. Simulation results of several examples are given to demonstrate the validity of the proposed method.

引用

页码：1448 / 1457

页数：10

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