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The problem of robust Hinfin reliable control is investigated for time-varying delayed uncertain systems against actuator failure by means of static output feedback. In the considered systems, the parameters uncertainties satisfy generalized matching conditions, and the time-varying delay is bounded while its derivative is unrestricted. All the output of the actuator failures is assumed to be zero. Based on Lyapunov-Razumkhin stability theory, a sufficient condition of the existing of robust reliable controller possessing Hinfin performance index is given. At the same time, the designing approach of static output-feedback controller is presented. Those results are represented by linear matrix inequalities (LMIs) and are correlative with time delay. The resultant control systems retain asymptotic stability and disturbance attenuation with Hinfin-norm bounds despite any outages within a prespecified subset of actuators. A numerical example shows the validity of the proposed design method.