Improved robust stability criteria for uncertain discrete-time Lur´e systems with interval time-delay

This paper is concerned with robust stability for uncertain discrete-time Lur´e systems with interval time-delay and sector bounded nonlinearity. By dividing the variation interval of the time delay into two subintervals and using a novel sum-inequality, some new delay-dependent robust stability criteria are derived in the form of linear matrix inequalities (LMIs) without using the general free-weighting matrix method. The criteria are less conservative and more efficiently calculative in computing the maximum allowed delay bounds (MADBs). Finally, two standard numerical examples are presented the effectiveness of the proposed approach.