Stochastic stability analysis of uncertain genetic regulatory networks with mixed time-varying delays

Abstract

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.