On Balanced Realizations of Bounded Real and Positive Real Functions

  • Based on normalized coprime factorizations with respect to indefinite metrics and the construction of suitable characteristic functions, the Ober balanced canonical forms for the classes of bounded real and positive real are derived. This uses a matrix representation of the shift realization with respect to a basis related to sets of orthogonal polynomials.

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Author:Paul A. Fuhrmann, Jörg Hoffmann
URN (permanent link):urn:nbn:de:hbz:386-kluedo-5006
Serie (Series number):Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (103)
Document Type:Preprint
Language of publication:English
Year of Completion:1994
Year of Publication:1994
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