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Unsolved Problems in Mathematical Systems and Control Theory by Vincent D. Blondel, Alexandre Megretski

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Problem 1.2

The realization problem for

Herglotz-Nevanlinna functions

Seppo Hassi

Department of Mathematics and Statistics

University of Vaasa

P.O. Box 700, 65101 Vaasa

Finland

sha@uwasa.fi

Henk de Snoo

Department of Mathematics

University of Groningen

P.O. Box 800, 9700 AV Groningen

Nederland

desnoo@math.rug.nl

Eduard Tsekanovski19972

Department of Mathematics

Niagara University, NY 14109

USA

tsekanov@niagara.edu

1 MOTIVATION AND HISTORY OF THE PROBLEM

Roughly speaking, realization theory concerns itself with identifying a given holomorphic function as the transfer function of a system or as its linear fractional transformation. Linear, conservative, ...

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