characterizations of rectangular (para)-unitary rational functions

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ID: 148414
2016
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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.
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alpay2016opusculacharacterizations Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Daniel Alpay;Palle Jorgensen;Izchak Lewkowicz
Journal zhonghua yi xue za zhi
Year 2016
DOI
http://dx.doi.org/10.7494/OpMath.2016.36.6.695
URL
http://www.opuscula.agh.edu.pl/vol36/6/art/opuscula_math_3642.pdf
Keywords
quantitative methods blaschke-potapov productapplied mathematics

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