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 and also regulators and observers. 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.
Name  Memorandum COSOR 

Volume  8011 

ISSN (Print)  09264493 

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@book{8233fd23b5fa4802aa05f642a6f66828,
title = "An algebraic approach to delay differential systems",
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 and also regulators and observers. 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.",
author = "R. Eising",
year = "1980",
language = "English",
series = "Memorandum COSOR",
publisher = "Technische Hogeschool Eindhoven",
}
TY  BOOK
T1  An algebraic approach to delay differential systems
AU  Eising, R.
PY  1980
Y1  1980
N2  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 and also regulators and observers. 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.
AB  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 and also regulators and observers. 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.
M3  Report
T3  Memorandum COSOR
BT  An algebraic approach to delay differential systems
PB  Technische Hogeschool Eindhoven
CY  Eindhoven
ER 