New delay-decomposing method for stability analysis of genetic regulatory networks with time-varying delays

Abstract

The problem of the stability analysis of genetic regulatory networks (GRNs) with time varying delays are proposed in this paper based on a new delay-decomposing method. Some appropriate Lyapunov-krasovskiis functionals are defined on each of the obtained subintervals, some integral inequalities and the convex combination technique are utilized to deal with the bound of the derivative of the Lyapunov-krasovskiis functional. Then the criteria are derived in terms of linear matrix inequalities (LMIs). Finally, a numerical example is used to illustrate the usefulness and less conservative than relative references.