Further results on exponential stability of linear discrete-time systems with time-varying delay

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Conference Proceeding
Proceedings of the 10th Asian Control Conference 2015 (ASCC 2015), 2015, pp. 1421 - 1426
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This note addresses the exponential stability problem of a class of discrete-time systems with interval timevarying delay. Based on the Lyapunov-Krasovskii method, a set of appropriate Lyapunov-Krasovskii functionals, containing an augmented vector and some triple summation terms is first proposed. By utilizing the combination of the reciprocally convex approach and the delay-decomposition technique, improved delaydependent conditions for exponential stability of the system are derived in terms of linear matrix inequalities (LMIs). Numerical examples are given to illustrate the effectiveness of the proposed approach.
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