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Remarks on Orthogonal Polynomials and Balanced Realizations

  • Given a proper antistable rational transfer function g, a balanced realization of g is contructed as a matrix representation of the abstract shift realization introduced in Fuhrmann [1976]. The required basis is constructed as a union of sets of polynomials orthogonal with respect to weights given by the square of the absolute values of minimal degree Schmidt vectors of the corresponding Hankel operators. This extends results of Fuhrmann [1991], obtained in the generic case.

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Author:Jörg Hoffmann, Paul A. Fuhrmann
URN (permanent link):urn:nbn:de:hbz:386-kluedo-6850
Serie (Series number):Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (79)
Document Type:Preprint
Language of publication:English
Year of Completion:1992
Year of Publication:1992
Publishing Institute:Technische Universität Kaiserslautern
Date of the Publication (Server):2000/04/03
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
Licence (German):Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011