The AAA framework for modeling linear dynamical systems with quadratic output
Numerical Analysis
2020-05-22 v1 Numerical Analysis
Systems and Control
Systems and Control
Dynamical Systems
Abstract
We consider linear dynamical systems with quadratic output. We first define the two transfer functions, a single-variable and a multivariate one, that fully describe the dynamics of these special nonlinear systems. Then, using the samples of these two transfer functions, we extend the AAA algorithm to model linear systems with quadratic output from data.
Cite
@article{arxiv.2005.10316,
title = {The AAA framework for modeling linear dynamical systems with quadratic output},
author = {Ion Victor Gosea and Serkan Gugercin},
journal= {arXiv preprint arXiv:2005.10316},
year = {2020}
}