Abstract: The problem of the minimax robust control of the statically structured uncertain time-delay systems is tackled. The sufficient conditions for the existence of minimax robust controller are derived aiming at the time-multiplying quadratic performance index by using Lyapunov function, with the convex optimization algorithm introduced in to solve the minimal upper bounds of performance index and the optimal parameter of minimax controller. The proposed algorithm is applied to the congestion control in TCP networks with time-delay factors so as to enable the queue length of router to converge at expected value faster with smaller oscillation in steady state. The simulation results reveal comparatively that the validity and superiority of the algorithm outperform other ones in application.