Journal article
Characterizations of rectangular (para)-unitary rational functions
Rocznik Akademii Górniczo-Hutniczej im. Stanisława Staszica. Opuscula Mathematica, Vol.36(6), pp.695-716
2016
DOI: 10.7494/OpMath.2016.36.6.695
Abstract
We here present three characterizations of not necessarily causal, rational functions which are (co)-isometric on the unit circle: (i) through the realization matrix of Schur stable systems, (ii) the Blaschke-Potapov product, which is then employed to introduce an easy-to-use description of all these functions with dimensions and McMillan degree as parameters, (iii) through the (not necessarily reducible) Matrix Fraction Description (MFD). In cases (ii) and (iii) the poles of the rational functions involved may be anywhere in the complex plane, but the unit circle (including both zero and infinity). A special attention is devoted to exploring the gap between the square and rectangular cases.
Details
- Title: Subtitle
- Characterizations of rectangular (para)-unitary rational functions
- Creators
- Daniel AlpayPalle JorgensenIzchak Lewkowicz
- Resource Type
- Journal article
- Publication Details
- Rocznik Akademii Górniczo-Hutniczej im. Stanisława Staszica. Opuscula Mathematica, Vol.36(6), pp.695-716
- DOI
- 10.7494/OpMath.2016.36.6.695
- ISSN
- 2300-6919
- eISSN
- 2300-6919
- Language
- English
- Date published
- 2016
- Academic Unit
- Mathematics
- Record Identifier
- 9983985819602771
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