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In this paper, the delay-dependent Hinfin control problem is considered for linear parameter-varying (LPV) systems with time-varying delays. By using new Lyapunov-Krasovskii functionals, some sufficient conditions on Hinfin performance analysis are given in terms of linear matrix inequalities (LMIs). Based on these conditions the state-feedback controller and the dynamical output-feedback controller are designed. A numerical example is included to illustrate the proposed method.