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 |
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| URN: | urn:nbn:de:hbz:386-kluedo-6850 |
| Series (Serial Number): | Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (79) |
| Document Type: | Preprint |
| Language of publication: | English |
| Year of Completion: | 1992 |
| Year of first Publication: | 1992 |
| Publishing Institution: | Technische Universität Kaiserslautern |
| Date of the Publication (Server): | 2000/04/03 |
| Faculties / Organisational entities: | Kaiserslautern - Fachbereich Mathematik |
| DDC-Cassification: | 5 Naturwissenschaften und Mathematik / 510 Mathematik |
| Licence (German): |  Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011 |