Memoryless stabilizing controller designing of uncertain time-delayed systems

This paper deals with a class of uncertain linear dynamic systems. The class of systems under consideration is described by a continuous-time uncertain model with multiple time-varying delays in both states and controls. The uncertainties are unknown but satisfy the rank-one conditions. It is shown that the construction of the memoryless stabilizing controller involves solving a certain algebraic Riccati equation or a certain linear matrix inequality. Several previous results can be derived as interesting special cases (only one is given in this paper).