Inference of a gene regulatory network by means of interactive evolutionary computing
Information Sciences—Informatics and Computer Science: An International Journal - Bioinformatics-selected papers from 4th CBGI & 6th JCIS Proceedings
Stochastic delay differential equations for genetic regulatory networks
Journal of Computational and Applied Mathematics
Information Sciences: an International Journal
Information Sciences: an International Journal
Robust stability for uncertain genetic regulatory networks with interval time-varying delays
Information Sciences: an International Journal
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Genetic regulatory networks have become an important new area of research in the biological and biomedical sciences. This paper presents a robust analysis approach to stochastic asymptotic stability of the uncertain genetic regulatory networks with both mixed time-varying delays and stochastic noise. By choosing an appropriate new Lyapunov functional and employing stochastic analysis methods, some less conservative delay-range-dependent and delay-derivative-dependent stability criteria have been derived in terms of linear matrix inequalities. The important feature is that the obtained stability criteria are applicable to both fast and slow time-varying delays due to the ranges for the time-varying delays have been carefully considered. Finally, three numerical examples are presented to illustrate the effectiveness of the theoretical results.