Robust stabilization of uncertain time-delay systems via dynamic memoryless state feedback

In this paper, the problem of robust stabilization for uncertain linear time-delay systems is considered. The uncertainty is assumed to be norm-bounded and appears in all the matrices of the state space model. We propose a robust stabilizability condition via dynamic memoryless state feedback in the form of linear matrix inequalities(LMIs). A control law is obtained using solutions of the LMIs.