Analytic interpolation and the degree constraint

Tryphon Georgiou

International Journal of Applied Mathematics and Computer Science (2001)

  • Volume: 11, Issue: 1, page 271-279
  • ISSN: 1641-876X

Abstract

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Analytic interpolation problems arise quite naturally in a variety of engineering applications. This is due to the fact that analyticity of a (transfer) function relates to the stability of a corresponding dynamical system, while positive realness and contractiveness relate to passivity. On the other hand, the degree of an interpolant relates to the dimension of the pertinent system, and this motivates our interest in constraining the degree of interpolants. The purpose of the present paper is to make an overview of recent developments on the subject as well as to highlight an application of the theory.

How to cite

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Georgiou, Tryphon. "Analytic interpolation and the degree constraint." International Journal of Applied Mathematics and Computer Science 11.1 (2001): 271-279. <http://eudml.org/doc/207503>.

@article{Georgiou2001,
abstract = {Analytic interpolation problems arise quite naturally in a variety of engineering applications. This is due to the fact that analyticity of a (transfer) function relates to the stability of a corresponding dynamical system, while positive realness and contractiveness relate to passivity. On the other hand, the degree of an interpolant relates to the dimension of the pertinent system, and this motivates our interest in constraining the degree of interpolants. The purpose of the present paper is to make an overview of recent developments on the subject as well as to highlight an application of the theory.},
author = {Georgiou, Tryphon},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {analytic interpolation; spectralanalysis of time-series; uniformly optimal control; degree constraints; spectral analysis of time-series; survey},
language = {eng},
number = {1},
pages = {271-279},
title = {Analytic interpolation and the degree constraint},
url = {http://eudml.org/doc/207503},
volume = {11},
year = {2001},
}

TY - JOUR
AU - Georgiou, Tryphon
TI - Analytic interpolation and the degree constraint
JO - International Journal of Applied Mathematics and Computer Science
PY - 2001
VL - 11
IS - 1
SP - 271
EP - 279
AB - Analytic interpolation problems arise quite naturally in a variety of engineering applications. This is due to the fact that analyticity of a (transfer) function relates to the stability of a corresponding dynamical system, while positive realness and contractiveness relate to passivity. On the other hand, the degree of an interpolant relates to the dimension of the pertinent system, and this motivates our interest in constraining the degree of interpolants. The purpose of the present paper is to make an overview of recent developments on the subject as well as to highlight an application of the theory.
LA - eng
KW - analytic interpolation; spectralanalysis of time-series; uniformly optimal control; degree constraints; spectral analysis of time-series; survey
UR - http://eudml.org/doc/207503
ER -

References

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