On improved delay-dependent robust stability criteria for uncertain discrete-time systems with multiple state delays

In this paper, some new stability criteria for uncertain discrete-time systems with multiple state delays are proposed. Unlike previous methods, the bounding over certain cross terms is riot required in the derivation of the main results. Based on the parameter-dependent Lyapunov functional, the improved robust stability criterion is also given when the polytopic-type uncertainties appear in the multiple time-delay systems. Numerical example is included to demonstrate tire reduced conservatism of tire proposed conditions.