An algebraic approach to delay differential systems

R. Eising

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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.
Original languageEnglish
Place of PublicationEindhoven
PublisherTechnische Hogeschool Eindhoven
Number of pages32
Publication statusPublished - 1980

Publication series

NameMemorandum COSOR
Volume8011
ISSN (Print)0926-4493

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Cite this

Eising, R. (1980). An algebraic approach to delay differential systems. (Memorandum COSOR; Vol. 8011). Eindhoven: Technische Hogeschool Eindhoven.