This paper deals with the stabilization of the class of continuous-time systems. A state feedback controller with delayed states is used to stabilize this class of systems. The time delay is assumed to be time-varying and differentiable with respect to time with finite bound, not necessary less one, and appear in the state. Delay-dependent sufficient conditions on stabilizability are developed. These conditions use some weighting matrices to reduce the conservatism. A design algorithm for a state feedback controller which guarantees that the closed-loop dynamics will be stable is proposed in terms of the solutions to linear matrix inequalities.
Published February 2008 , 13 pages