Elimination of latent variables in behavioral systems: a geometric approach

M.E.C. Mutsaers, S. Weiland

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Abstract

This paper considers computational aspects of the problem of elimination of variables. More precisely, the problem of elimination of latent variables in models is addressed in the behavioral framework. In earlier contributions on this theme, the model classes of infinitely smooth and square integrable linear time-invariant systems have been considered. For both system classes, conditions for elimination of latent variables have been derived. However, efficient computational scheme to eliminate distinguished variables from equations have received less attention in the literature. This paper addresses sufficient conditions for the elimination problem where algebraic state space operations are used. We provide a constructive and computable algorithm for the elimination of latent variables.
Original languageEnglish
Title of host publicationProceedings of the 18th World Congress of the International Federation of Automatic Control (IFAC), 28 August - 2 September 2011, Milan, Italy
Place of PublicationMilan, Italy
PublisherIFAC
Pages10117-10122
DOIs
Publication statusPublished - 2011
Event18th World Congress of the International Federation of Automatic Control (IFAC 2011 World Congress) - Milano, Italy
Duration: 28 Aug 20112 Sep 2011
Conference number: 18
http://www.ifac2011.org/

Conference

Conference18th World Congress of the International Federation of Automatic Control (IFAC 2011 World Congress)
Abbreviated titleIFAC 2011
CountryItaly
CityMilano
Period28/08/112/09/11
Internet address

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