Abstract
In this paper a class of delay differential systems is studied using an algebraic approach. Such a system is considered a system over a ring of delay operators. The ring under consideration is a valuation domain. This fact enables us to construct canonical free realizations. Algorithms in order to perform these constructions are given. The results are improvements upon the case where a delay differential system with incommensurable delays is viewed as a system over a polynomial ring in several variables.
| Original language | English |
|---|---|
| Pages (from-to) | 365-372 |
| Number of pages | 8 |
| Journal | Systems and Control Letters |
| Volume | 1 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 1982 |