DocumentCode :
1494524
Title :
Global and Robust Stability Analysis of Genetic Regulatory Networks With Time-Varying Delays and Parameter Uncertainties
Author :
Fang-Xiang Wu
Author_Institution :
Dept. of Mech. Eng., Univ. of Saskatchewan, Saskatoon, SK, Canada
Volume :
5
Issue :
4
fYear :
2011
Firstpage :
391
Lastpage :
398
Abstract :
The study of stability is essential for designing or controlling genetic regulatory networks. This paper addresses global and robust stability of genetic regulatory networks with time delays and parameter uncertainties. Most existing results on this issue are based on the linear matrix inequalities (LMIs) approach, which results in checking the existence of a feasible solution to high dimensional LMIs. Based on M-matrix theory, we will present several novel global stability conditions for genetic regulatory networks with time-varying and time-invariant delays. All of these stability conditions are given in terms of M-matrices, for which there are many and very easy ways to be verified. Then, we extend these results to genetic regulatory networks with time delays and parameter uncertainties. To illustrate the effectiveness of our theoretical results, several genetic regulatory networks are analyzed. Compared with existing results in the literature, we also show that our results are less conservative than existing ones with these illustrative genetic regulatory networks.
Keywords :
delays; genetics; matrix algebra; stability; M-matrix theory; genetic regulatory networks; global stability analysis; linear matrix inequality; parameter uncertainty; robust stability analysis; time-varying delays; Delay; Delay effects; Genetics; Mathematical model; Proteins; Robust stability; Stability analysis; Genetic regulatory network; M-matrix; global stability; parameter uncertainties; robust stability; time-invariant delays; time-varying delays;
fLanguage :
English
Journal_Title :
Biomedical Circuits and Systems, IEEE Transactions on
Publisher :
ieee
ISSN :
1932-4545
Type :
jour
DOI :
10.1109/TBCAS.2011.2124459
Filename :
5750066
Link To Document :
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