[图书][B] Model order reduction for differential-algebraic equations: a survey

P Benner, T Stykel - 2017 - Springer
In this paper, we discuss the model order reduction problem for descriptor systems, that is,
systems with dynamics described by differential-algebraic equations. We focus on linear …

Balanced truncation for parametric linear systems using interpolation of Gramians: a comparison of algebraic and geometric approaches

NT Son, PY Gousenbourger, E Massart… - Model reduction of …, 2021 - Springer
When balanced truncation is used for model order reduction, one has to solve a pair of
Lyapunov equations for two Gramians and uses them to construct a reduced-order model …

Model order reduction of parameterized circuit equations based on interpolation

NT Son, T Stykel - Advances in Computational Mathematics, 2015 - Springer
In this paper, the state-of-the-art interpolation-based model order reduction methods are
applied to parameterized circuit equations. We analyze these methods in great details …

A multi-point parameterized model reduction for large parametric systems by using Krylov-subspace techniques

JW Yuan, YL Jiang - … of the Institute of Measurement and …, 2018 - journals.sagepub.com
This paper presents a multi-point parameterized model reduction method based on Krylov-
subspace techniques for large parametric systems where the parametric dependence in …

[PDF][PDF] Zustandsraumbasierte Reduktion nichtlinearer Modelle in Modelica durch abschnittsweise lineare Approximation

J Brunnemann, MSTB Helbing - researchgate.net
Für die Beantwortung spezifischer Simulationsfragestellungen oder Parameterstudien
komplexer Systemmodelle sind oft nur Informationen über bestimmte Teile des Systems …