Abstract: The problem of the reliable guaranteed cost robust control for a class of linear uncertain time-delay systems containing actuator failures is studied. A general model of actuator failures is adopted, which covers normal operation, partial degradation and outage. The cost function of the systems is given in terms of integral quadratic function containing failure controls. By using the Lyapunov stable theory and matrix inequality approach, a sufficient condition of the existence of the reliable guaranteed cost robust controller for the systems is put forward by the solvability of algebraic matrix inequalities(AMI), and a guaranteed cost of the resulting closed-loop systems is obtained. Based on LMI approach, an algorithm for solving the AMI is presented. A numerical example is presented and some analysis results show that the results are efficient.