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
收藏
页码：1448 / 1457
页数：10
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