"Wrong" Side Interpolation by Low Degree Positive Real rational Functions
Optimization and Control
2017-04-21 v1
Abstract
Using polynomial interpolation, along with structural properties of the family of positive real rational functions, we here show that a set of m nodes in the open left half of the complex plane, can always be mapped to anywhere in the complex plane by rational positive real functions whose degree is at most m. Moreover, we introduce an easy-to-find parametrization in of a large subset of these interpolating functions.
Cite
@article{arxiv.1704.06239,
title = {"Wrong" Side Interpolation by Low Degree Positive Real rational Functions},
author = {Daniel Alpay and Izchak Lewkowicz},
journal= {arXiv preprint arXiv:1704.06239},
year = {2017}
}