8 citations · 17 across the 13 of their papers we have counts for
7 papers · 1 filter
SOBMOR: Structured Optimization-Based Model Order Reduction
Paul Schwerdtner, Matthias Voigt
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 no…
Structure-Preserving Model Reduction for Dissipative Mechanical Systems
Rebekka S. Beddig, Peter Benner, Ines Dorschky +4
Suppressing vibrations in mechanical systems, usually described by second-order dynamical models, is a challenging task in mechanical engineering in terms of computational resource…
Balanced truncation model reduction for symmetric second order systems -- A passivity-based approach
Ines Dorschky, Timo Reis, Matthias Voigt
We introduce a model reduction approach for linear time-invariant second order systems based on positive real balanced truncation. Our method guarantees asymptotic stability and pa…
Derivative Interpolating Subspace Frameworks for Nonlinear Eigenvalue Problems
Rifqi Aziz, Emre Mengi, Matthias Voigt
We first consider the problem of approximating a few eigenvalues of a rational matrix-valued function closest to a prescribed target. It is assumed that the proper rational part of…
Balanced Truncation Model Reduction with A Priori Error Bounds for LTI Systems with Nonzero Initial Value
Christian Schröder, Matthias Voigt
In standard balanced truncation model order reduction, the initial condition is typically ignored in the reduction procedure and is assumed to be zero instead. However, such a redu…
Discounted Cost Linear Quadratic Gaussian Control for Descriptor Systems
Hermann Mena, Lena-Maria Pfurtscheller, Matthias Voigt
We consider the linear quadratic Gaussian control problem with a discounted cost functional for descriptor systems on the infinite time horizon. Based on recent results from the de…
Semi-active damping optimization by adaptive interpolation
Zoran Tomljanović, Matthias Voigt
In this work we consider the problem of semi-active damping optimization of mechanical systems with fixed damper positions. Our goal is to compute a damping that is locally optimal…