Abstract
This paper is concerned with parametrizing the set of all stabilizing compensators in time-delay systems. In this paper, two definitions of stability are adopted for closed-loop stability; asymptotic stability in the ordinary sense (in which case the closed-loop system has possibly infinitely many spectra) and finite-spectral stability (which is asymptotic stability with the closed-loop system having only finitely many spectra). The main objective is to parametrize each set of all stabilizing compensators corresponding to the definitions of closed-loop stability.
