Stability analysis of genetic regulatory networks with time-varying delay via new convex combination technique

A new methodology is presented for the stability problem of genetic networks with time-varying delay in the current article. Novel stability criteria with delay dependency in terms of linear matrix inequalities for gene regulatory nets are derived by the proposed augmented Lyapunov-Krasovski (L-K) functional. Our proof deployment applies the technique of second order convex combination, and the property of quadratic convex function without resort to Jensen´s inequality.