Proper stable Bezout factorizations and feedback control of linear time-delay systems†

1 March 1986

journal article
research article
Published by Taylor & Francis in International Journal of Control

Vol. 43 (3) , 837-857
https://doi.org/10.1080/00207178608933506

Abstract

This paper deals with the existence and construction of proper stable Bezout factorizations of transfer function matrices of linear time-invariant systems with commensurate time delays. Existence of factorizations is characterized in terms of spectral controllability (or spectral observability)of the co-canonical (or canonical) realization of the transfer function matrix. An explicit procedure for computing proper stable Bezout factorizations is given in terms of a specialized ring of pure and distributed time delays. This procedure is utilized to construct finite-dimensional stabilizing compensators and to construct feedback systems which assign the characteristic polynomial of the closed-loop system.

Keywords

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