Research on delay-independent stability for discrete-time interval systems with time-varying delay

This paper is concerned with the stability problems and robust analysis of a class of discrete-time interval systems with time-varying, infinite distributed delays and uncertainties. A novel delay-independent stability criterion based on Gronwall´s inequalities in terms of Linear Matrix Inequalities (LMIs) is proposed. The example simulation is performed for the comparison of the proposed delay-independent stability criterion to those in the corresponding literatures, for purpose of testifying the effectiveness of the presented method. The simulation results show that the proposed algorithm has the advantage of less computational cost and larger delay upper.