On the elimination of latent variables in L2 behaviors

M.E.C. Mutsaers, S. Weiland

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Abstract

This paper considers the problem to eliminate latent variables from models in the class of linear shift-invariant L2 systems. Models in this class are assumed to relate manifest and latent variables by means of rational operators. The question is addressed when the induced manifest behavior of such a model again admits a representation as the L2 kernel of a rational operator. Necessary and sufficient conditions for eliminability in this class are given and are compared with earlier obtained results for classical infinitely smooth behaviors. We also provide an explicit state space algorithm for the construction of the induced manifest behavior, which is a result from the obtained relation between elimination of variables and disturbance decoupling problems.
Original languageEnglish
Title of host publicationProceedings of the 49th IEEE Conference on Decision and Control (CDC 2010) : Atlanta
Place of PublicationPiscataway, NJ
PublisherInstitute of Electrical and Electronics Engineers
Pages7742-7747
ISBN (Print)978-1-4244-7744-9
Publication statusPublished - 2010
Event49th IEEE Conference on Decision and Control (CDC 2010) - Atlanta, United States
Duration: 15 Dec 201017 Dec 2010
Conference number: 49

Conference

Conference49th IEEE Conference on Decision and Control (CDC 2010)
Abbreviated titleCDC 2010
CountryUnited States
CityAtlanta
Period15/12/1017/12/10

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