Modal Controllability of a Delay Differential System by an Incomplete Output

Abstract

For a spectrally controllable and spectrally observable linear time-invariant system with commensurable delays, we construct the closed-loop by an incomplete output, which ensures the modal controllability (prescribed characteristic quasipolynomial) of the closed-loop system and, as a consequence, its asymptotic stabilization (through the assignment of an asymptotically stable spectrum). The results are illustrated by an example.