On balanced realizations of bounded real and positive real functions

J. W. Hoffmann; P. A. Fuhrmann

doi:10.1016/0024-3795(94)00225-8

On balanced realizations of bounded real and positive real functions

J. W. Hoffmann, P. A. Fuhrmann

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

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 positive real functions are derived. This uses a matrix representation of the shift realization with respect to a basis related to sets of orthogonal polynomials.

Original language	English
Pages (from-to)	107-146
Number of pages	40
Journal	Linear Algebra and Its Applications
Volume	245
DOIs	https://doi.org/10.1016/0024-3795(94)00225-8
State	Published - 15 Sep 1996

ASJC Scopus subject areas

Algebra and Number Theory
Numerical Analysis
Geometry and Topology
Discrete Mathematics and Combinatorics

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10.1016/0024-3795(94)00225-8

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title = "On balanced realizations of bounded real and positive real functions",

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 positive real functions are derived. This uses a matrix representation of the shift realization with respect to a basis related to sets of orthogonal polynomials.",

author = "Hoffmann, {J. W.} and Fuhrmann, {P. A.}",

note = "Funding Information: *Earl Katz Family Chair in Algebraic System Theory. tpartially supported by the Israeli Academy of Sciences under grant 249/90 and by GIF under grant I 184.",

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AU - Hoffmann, J. W.

AU - Fuhrmann, P. A.

N1 - Funding Information: *Earl Katz Family Chair in Algebraic System Theory. tpartially supported by the Israeli Academy of Sciences under grant 249/90 and by GIF under grant I 184.

PY - 1996/9/15

Y1 - 1996/9/15

N2 - 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 functions are derived. This uses a matrix representation of the shift realization with respect to a basis related to sets of orthogonal polynomials.

AB - 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 functions 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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U2 - 10.1016/0024-3795(94)00225-8

DO - 10.1016/0024-3795(94)00225-8

M3 - Article

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VL - 245

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JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

ER -

On balanced realizations of bounded real and positive real functions

Abstract

ASJC Scopus subject areas

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