[图书][B] Interpolatory methods for model reduction

Dynamical systems are at the core of computational models for a wide range of complex
phenomena and, as a consequence, the simulation of dynamical systems has become a …

Data-driven structured realization

P Schulze, B Unger, C Beattie, S Gugercin - Linear Algebra and its …, 2018 - Elsevier
We present a framework for constructing structured realizations of linear dynamical systems
having transfer functions of the form C˜(∑ k= 1 K hk (s) A˜ k)− 1 B˜ where h 1, h 2,..., h K are …

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 …

Fixed-order H-infinity controller design for port-Hamiltonian systems

P Schwerdtner, M Voigt - Automatica, 2023 - Elsevier
We present a new fixed-order H-infinity controller design method for potentially large-scale
port-Hamiltonian (pH) plants. Our method computes controllers that are also pH (and thus …

Parameter preserving model order reduction of large sparse small-signal electromechanical stability power system models

YGI Acle, FD Freitas, N Martins… - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
This paper proposes a method for the model order reduction (MOR) of large scale power
system models that produces reduced order models (ROM) which preserve the access to …

Optimal robustness of port-Hamiltonian systems

V Mehrmann, PM Van Dooren - SIAM Journal on Matrix Analysis and …, 2020 - SIAM
We construct optimally robust port-Hamiltonian realizations of a given rational transfer
function that represents a passive system. We show that the realization with a maximal …

Geometric element parameterization and parametric model order reduction in finite element based shape optimization

B Fröhlich, J Gade, F Geiger, M Bischoff… - Computational …, 2019 - Springer
This contribution proposes a new approach to derive geometrically parameterized, reduced
order finite element models. An element formulation for geometrically parameterized finite …

Structure-preserving interpolation of bilinear control systems

P Benner, S Gugercin, SWR Werner - Advances in Computational …, 2021 - Springer
In this paper, we extendthe structure-preserving interpolatory model reduction framework,
originally developed for linear systems, to structured bilinear control systems. Specifically …

Model reduction techniques for linear constant coefficient port-Hamiltonian differential-algebraic systems

SA Hauschild, N Marheineke, V Mehrmann - arXiv preprint arXiv …, 2019 - arxiv.org
Port-based network modeling of multi-physics problems leads naturally to a formulation as
port-Hamiltonian differential-algebraic system. In this way, the physical properties are …

Model order reduction for delay systems by iterative interpolation

D Alfke, L Feng, L Lombardi… - … Journal for Numerical …, 2021 - Wiley Online Library
Adaptive algorithms for computing the reduced‐order model of time‐delay systems (TDSs)
are proposed in this work. The algorithms are based on interpolating the transfer function at …