Saved in:
Bibliographic Details
Main Authors: Pelling, Art J. R., Cherifi, Karim, Gosea, Ion Victor, Sarradj, Ennes
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2406.01236
Tags: Add Tag
No Tags, Be the first to tag this record!
Table of Contents:
  • 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.