28 citations · 155 across the 18 of their papers we have counts for
9 papers · 1 filter
Adaptive choice of near-optimal expansion points for interpolation-based structure-preserving model reduction
Quirin Aumann, Steffen W. R. Werner
Interpolation-based methods are well-established and effective approaches for the efficient generation of accurate reduced-order surrogate models. Common challenges for such method…
Structured interpolation for multivariate transfer functions of quadratic-bilinear systems
Peter Benner, Serkan Gugercin, Steffen W. R. Werner
High-dimensional/high-fidelity nonlinear dynamical systems appear naturally when the goal is to accurately model real-world phenomena. Many physical properties are thereby encoded…
Structured barycentric forms for interpolation-based data-driven reduced modeling of second-order systems
Ion Victor Gosea, Serkan Gugercin, Steffen W. R. Werner
An essential tool in data-driven modeling of dynamical systems from frequency response measurements is the barycentric form of the underlying rational transfer function. In this wo…
A unifying framework for tangential interpolation of structured bilinear control systems
Peter Benner, Serkan Gugercin, Steffen W. R. Werner
In this paper, we consider the structure-preserving model order reduction problem for multi-input/multi-output bilinear control systems by tangential interpolation. We propose a ne…
Structured model order reduction for vibro-acoustic problems using interpolation and balancing methods
Quirin Aumann, Steffen W. R. Werner
Vibration and dissipation in vibro-acoustic systems can be assessed using frequency response analysis. Evaluating a frequency sweep on a full-order model can be very costly, so mod…
A low-rank solution method for Riccati equations with indefinite quadratic terms
Peter Benner, Jan Heiland, Steffen W. R. Werner
Algebraic Riccati equations with indefinite quadratic terms play an important role in applications related to robust controller design. While there are many established approaches…
Structured vector fitting framework for mechanical systems
Steffen W. R. Werner, Ion Victor Gosea, Serkan Gugercin
In this paper, we develop a structure-preserving formulation of the data-driven vector fitting algorithm for the case of modally damped mechanical systems. Using the structured pol…
Structure-Preserving Interpolation for Model Reduction of Parametric Bilinear Systems
Peter Benner, Serkan Gugercin, Steffen W. R. Werner
In this paper, we present an interpolation framework for structure-preserving model order reduction of parametric bilinear dynamical systems. We introduce a general setting, coveri…
Structure-Preserving Interpolation of Bilinear Control Systems
Peter Benner, Serkan Gugercin, Steffen W. R. Werner
In this paper, we extend the structure-preserving interpolatory model reduction framework, originally developed for linear systems, to structured bilinear control systems. Specific…