Preserving Lagrangian structure in data-driven reduced-order modeling of large-scale dynamical systems

H Sharma, B Kramer - Physica D: Nonlinear Phenomena, 2024 - Elsevier
This work presents a nonintrusive physics-preserving method to learn reduced-order models
(ROMs) of Lagrangian systems, which includes nonlinear wave equations. Existing intrusive …

A comparison of second-order model order reduction methods for an artificial fishtail

J Saak, D Siebelts, SWR Werner - at-Automatisierungstechnik, 2019 - degruyter.com
In order to apply control theory in small autonomous vehicles, mathematical models with
small numbers of states are required for using the limited computational power in embedded …

Structure-preserving model reduction for mechanical systems

SWR Werner - 2021 - repo.bibliothek.uni-halle.de
In this thesis, structure-preserving model order reduction for dynamical systems is studied.
The particular focus lies on mechanical systems described by differential equations with …

[HTML][HTML] Frequency-and time-limited balanced truncation for large-scale second-order systems

P Benner, SWR Werner - Linear Algebra and its Applications, 2021 - Elsevier
Considering the use of dynamical systems in practical applications, often only limited
regions in the time or frequency domain are of interest. Therefore, it usually pays off to …

SOBMOR: Structured optimization-based model order reduction

P Schwerdtner, M Voigt - SIAM Journal on Scientific Computing, 2023 - SIAM
Model order reduction (MOR) methods that are designed to preserve structural features of a
given full order model (FOM) often suffer from a lower accuracy when compared to their non …

Reduced-order transfer matrices from RLC network descriptor models of electric power grids

FD Freitas, N Martins, SL Varricchio… - IEEE transactions on …, 2011 - ieeexplore.ieee.org
This paper compares the computational performances of four model order reduction
methods applied to large-scale electric power RLC networks transfer functions with many …

On dominant poles and model reduction of second order time-delay systems

M Saadvandi, K Meerbergen, E Jarlebring - Applied numerical …, 2012 - Elsevier
The method known as the dominant pole algorithm (DPA) has previously been successfully
used in combination with model order reduction techniques to approximate standard linear …

Faster and More Accurate Computation of the Norm via Optimization

P Benner, T Mitchell - SIAM Journal on Scientific Computing, 2018 - SIAM
In this paper, we propose an improved method for computing the H_∞ norm of linear
dynamical systems that results in a code that is often several times faster than existing …

Model order reduction: Methods, concepts and properties

AC Antoulas, R Ionutiu, N Martins… - … and optimization in …, 2015 - Springer
This chapter offers an introduction to Model Order Reduction (MOR). It gives an overview on
the methods that are mostly used. It also describes the main concepts behind the methods …

Semi‐active damping optimization of vibrational systems using the parametric dominant pole algorithm

P Benner, P Kürschner, Z Tomljanović… - ZAMM‐Journal of …, 2016 - Wiley Online Library
We consider the problem of determining an optimal semi‐active damping of vibrating
systems. For this damping optimization we use a minimization criterion based on the …