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In this paper, we study the problem of stability analysis for discrete-time linear system with interval time-varying delay and nonlinear per- turbations. By constructing a new Lyapunov-Krasovskii functional with triple summation terms, mixed model transformation, Jensen-type summation in- equality and utilization of zero equation, new delay-range-dependent asymp- totic stability criteria are obtained and formulated in terms of linear matrix inequalities (LMIs). Moreover, we obtain new delay-range-dependent asymp- totic stability criteria of discrete-time linear system with interval time-varying delay. Numerical examples are given to demonstrate the effectiveness and less conservativeness of the proposed methods.

IMPROVED DELAY-RANGE-DEPENDENT STABILITY CRITERIA FOR DISCRETE-TIME LINEAR SYSTEMS WITH INTERVAL TIME-VARYING DELAY AND NONLINEAR PERTURBATIONS