[PDF][PDF] The Loewner framework for system identification and reduction

D Karachalios, IV Gosea… - Model Order Reduction …, 2021 - library.oapen.org
One of the main approaches to model reduction of both linear and nonlinear dynamical
systems is by means of interpolation. This approach seeks reduced models whose transfer …

The p-AAA algorithm for data-driven modeling of parametric dynamical systems

AC Rodriguez, L Balicki, S Gugercin - SIAM Journal on Scientific Computing, 2023 - SIAM
The AAA algorithm has become a popular tool for data-driven rational approximation of
single-variable functions, such as transfer functions of a linear dynamical system. In the …

Model order reduction of bilinear time-delay systems

IV Gosea, IP Duff, P Benner… - 2019 18th European …, 2019 - ieeexplore.ieee.org
In this paper, we present a novel method for approximating bilinear time-delay systems by
bilinear systems with no delay. This is performed by means of matching some input-output …

An efficient, memory-saving approach for the Loewner framework

D Palitta, S Lefteriu - Journal of Scientific Computing, 2022 - Springer
The Loewner framework is one of the most successful data-driven model order reduction
techniques. If N is the cardinality of a given data set, the so-called Loewner and shifted …

A framework for fitting quadratic-bilinear systems with applications to models of electrical circuits

DS Karachalios, IV Gosea, AC Antoulas - IFAC-PapersOnLine, 2022 - Elsevier
We propose a method for fitting quadratic-bilinear models from data. Although the dynamics
characterizing the original model consist of general analytic nonlinearities, we rely on lifting …

Model order reduction approach to the one-dimensional collisionless closure problem

C Gillot, G Dif-Pradalier, X Garbet, P Ghendrih… - Physics of …, 2021 - pubs.aip.org
The problem of the fluid closure for the collisionless linear Vlasov system is investigated
using a perspective from control theory and model order reduction. The balanced truncation …

From data to reduced-order models of complex dynamical systems

AM Burohman - 2023 - research.rug.nl
Modeling of dynamical systems is at the core of the simulation and controller design of
modern technological products and processes. Due to the ever-increasing demand for …

A bilinear identification‐modeling framework from time domain data

DS Karachalios, IV Gosea, AC Antoulas - PAMM, 2019 - Wiley Online Library
An ever‐increasing need for improving the accuracy includes more involved and detailed
features, thus inevitably leading to larger‐scale dynamical systems [1]. To overcome this …

Model reduction for tokamak plasma turbulence: beyond fluid and quasi-linear descriptions

C Gillot - 2020 - cea.hal.science
The optimization and control of tokamak plasmas requires predicting the transport of matter
and heat in a way that is both efficient and accurate. Triggered by kinetic instabilities …

Iterative Loewner matrix macromodeling using CUR decomposition for noisy frequency responses

M Sahouli, A Dounavis - 2019 IEEE 28th Conference on …, 2019 - ieeexplore.ieee.org
This paper presents an efficient macromodeling technique for modeling distributed circuits
characterized by noisy frequency-domain data. The proposed method is based on an …