Abstract: The problem of delay-dependent H_∞ control for generalized time-delay systems is investigated.By using a new constructed augmented-discretized Lyapunov functional and free-weighting matrix approach,a delay-dependent bounded real lemma(BRL) is presented to ensure the systems be regular,impulse free and stable with a prescribed H_∞ norm-bound.Based on the obtained BRL,a direct design method for H_∞ state feedback control law of the system is given.All obtained results are formulated in terms of strict linear matrix inequality(LMI).Numerical examples demonstrate that the proposed methods are effective and less conservative.