New delay-dependent absolute stability for uncertain Lur´e system with interval delay

This paper deals with the absolute stability analysis for Lur´e system with interval time-delay and norm bounded parameter uncertainties. By constructing the Lyapunov-Krasovskii functional, which is utilized the full lower and upper bound information of time-delay, some new delay-dependent robust stability criteria are obtained in terms of linear matrix inequalities(LMIs) with convex combination technique. The resulting criterion has advantages over some previous ones in that it involves less decision variables than free weighting matrix method and doesn´t introduce the additional dynamics which leads to conservative results. The numerical examples of maximum allowable delay bound problem illustrate that the obtained absolute stability criteria are less conservative than previous ones.