ON BALANCED REALIZATIONS OF BOUNDED REAL AND POSITIVE REAL FUNCTIONS

Authors
HOFFMANN JW FUHRMANN PA
Citation
Jw. Hoffmann et Pa. Fuhrmann, ON BALANCED REALIZATIONS OF BOUNDED REAL AND POSITIVE REAL FUNCTIONS, Linear algebra and its applications, 245, 1996, pp. 107-146
Citations number
23
Categorie Soggetti
Mathematics,Mathematics
Journal title
Linear algebra and its applications → ACNP
ISSN journal
00243795
Volume
245
Year of publication
1996
Pages
107 - 146
Database
ISI
SICI code
0024-3795(1996)245:<107:OBROBR>2.0.ZU;2-Z
Abstract
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 pos itive real functions are derived. This uses a matrix representation of the shift realization with respect to a basis related to sets of orth ogonal polynomials.