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 …

[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 …

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 …

Dam** optimization of parameter dependent mechanical systems by rational interpolation

Z Tomljanović, C Beattie, S Gugercin - Advances in Computational …, 2018 - Springer
We consider an optimization problem related to semi-active dam** of vibrating systems.
The main problem is to determine the best dam** matrix able to minimize influence of the …

Structure-preserving model reduction for dissipative mechanical systems

RS Beddig, P Benner, I Dorschky, T Reis… - Calm, Smooth and …, 2023 - Springer
Suppressing vibrations in mechanical systems, usually described by second-order
dynamical models, is a challenging task in mechanical engineering in terms of …

Finite time horizon mixed control of vibrational systems

I Nakić, MP Vidaković, Z Tomljanović - SIAM journal on scientific computing, 2024 - SIAM
We consider a vibrational system control problem over a finite time horizon. The
performance measure of the system is taken to be a-mixed norm which generalizes the …

Mixed control of vibrational systems

I Nakić, Z Tomljanović, N Truhar - ZAMM‐Journal of Applied …, 2019 - Wiley Online Library
We consider new performance measures for vibrational systems based on the H2 norm of
linear time invariant systems. New measures will be used as an optimization criterion for the …

Semi‐active dam** optimization by adaptive interpolation

Z Tomljanović, M Voigt - Numerical linear algebra with …, 2020 - Wiley Online Library
In this work we consider the problem of semi‐active dam** optimization of mechanical
systems with fixed damper positions. Our goal is to compute a dam** that is locally optimal …

Semi-active dam** optimization of vibrational systems using the reduced basis method

J Przybilla, I Pontes Duff, P Benner - Advances in Computational …, 2024 - Springer
In this article, we consider vibrational systems with semi-active dam** that are described
by a second-order model. In order to minimize the influence of external inputs to the system …

Sampling-free model reduction of systems with low-rank parameterization

C Beattie, S Gugercin, Z Tomljanović - Advances in computational …, 2020 - Springer
We consider the reduction of parametric families of linear dynamical systems having an
affine parameter dependence that allow for low-rank variation in the state matrix. Usual …