Linear controller for robust tracking of uncertain time-delay systems

We consider a class of linear time-delay dynamic systems containing uncertain elements. The plant and input matrices of the system are uncertain and the plant states have retarded arguments. The only information available about the uncertain parameters is the bounding sets in which they lie. A linear controller is developed to force the output of the uncertain time-delay system to track the output of a non-delay reference model. The tracking error does not asymptotically decrease to zero; instead the error is bounded. This bound can be made arbitrarily small. Examples are provided to illustrate the application of the theory.