Input-output equations and observability for polynomial delay systems

K. Forsman, L.C.G.J.M. Habets

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Abstract

This paper discusses a result by Fliess about input-output equations for polynomial systems with time delays, and strengthens the result somewhat. The proof given is more detailed and opens the way for constructive methods for determining the input-output behavior. Some such methods based on Gröbner bases are described in detail. Furthermore, some connections with observability are exploited. Keywords: delay systems, difference-differential equations, commutative algebra, field theory, difference-differential algebra, elimination theory, implicitization.
Original languageEnglish
Place of PublicationEindhoven
PublisherTechnische Universiteit Eindhoven
Number of pages11
Publication statusPublished - 1994

Publication series

NameMemorandum COSOR
Volume9412
ISSN (Print)0926-4493

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