Abstract
This paper presents a finite dimensional stabilizing scheme for a class of time-delay systems having some imprecisely known parameters. The technique is based on a new stability criterion simply derived by the classical method of Lyapunov functionals. Frequency domain interpretation of the criterion in H∞-norm sense is also given. A sufficient condition for stabilizability via dynamic output feedback follows by a simple application of the stability result. It is shown that solutions to two parametrized Riccati equations play central role in synthesis of a suitable stabilizing controller. The resulting controller is of finite order, and its formula is expressed in terms of system parameters. Besides these results, some relations between the theory presented here and the well-known quadratic stability theory are explored.
