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New stability criterion for discrete-time systems with interval time-varying state delay

This paper is concerned with the stability analysis of discrete-time systems with time-varying state delay. By defining a new Lyapunov functional and by making use of novel techniques to achieve delay dependence, a new criterion is obtained for the asymptotic stability of these systems. The proposed criterion is less conservative as well as needs fewer decision variables than some pervious ones, which is established theoretically. Two examples are given to illustrate the advantages of our method.