New delay-dependent stability condition of genetic regulatory networks with time-varying delays and stochastic perturbations

摘要

In this paper, we investigate the stability analysis problem for a class of genetic regulatory networks (GRNs) with time-varying delays and stochastic perturbations. By employing the free-weighting matrix and the convex combination method, the linear matrix inequality approach is used to derive a new sufficient condition guaranteeing the stochastic asymptotic stability in mean square sense of the addressed GRNs. It is shown that the feasibility of proposed main condition can be easily checked in terms of the standard numerical software. Finally, we provide a numerical example to show the usefulness and less conservatism of the proposed stability criterion.