Snapshot-driven Rational Interpolation of Parametric Systems
Dynamical Systems
2024-06-04 v1
Abstract
Parametric data-driven modeling is relevant for many applications in which the model depends on parameters that can potentially vary in both space and time. In this paper, we present a method to obtain a global parametric model based on snapshots of the parameter space. The parameter snapshots are interpolated using the classical univariate Loewner framework and the global bivariate transfer function is extracted using a linear fractional transformation (LFT). Rank bounds for the minimal order of the global realization are also derived. The results are supported by various numerical examples.
Cite
@article{arxiv.2406.01236,
title = {Snapshot-driven Rational Interpolation of Parametric Systems},
author = {Art J. R. Pelling and Karim Cherifi and Ion Victor Gosea and Ennes Sarradj},
journal= {arXiv preprint arXiv:2406.01236},
year = {2024}
}
Comments
13 pages, 6 figures