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20162022
most citedData-driven Structured Realization

51 citations · 204 across the 20 of their papers we have counts for

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Showing 2021Show all

6 papers · 1 filter

math.OC2021★ 2 cited

Physics-informed Neural Networks-based Model Predictive Control for Multi-link Manipulators

Jonas Nicodemus, Jonas Kneifl, Jörg Fehr +1

We discuss nonlinear model predictive control (NMPC) for multi-body dynamics via physics-informed machine learning methods. Physics-informed neural networks (PINNs) are a promising…

math.NA2021

Identification of linear time-invariant systems with Dynamic Mode Decomposition

Jan Heiland, Benjamin Unger

Dynamic mode decomposition (DMD) is a popular data-driven framework to extract linear dynamics from complex high-dimensional systems. In this work, we study the system identificati…

math.OC2021★ 1 cited

Decomposition of flow data via gradient-based transport optimization

Felix Black, Philipp Schulze, Benjamin Unger

We study an optimization problem related to the approximation of given data by a linear combination of transformed modes. In the simplest case, the optimization problem reduces to…

math.NA2021★ 16 cited

Efficient Wildland Fire Simulation via Nonlinear Model Order Reduction

Felix Black, Philipp Schulze, Benjamin Unger

We propose a new hyper-reduction method for a recently introduced nonlinear model reduction framework based on dynamically transformed basis functions and especially well-suited fo…

math.NA2021

Parametric model reduction via rational interpolation along parameters

Ion Victor Gosea, Serkan Gugercin, Benjamin Unger

We present a novel projection-based model reduction framework for parametric linear time-invariant systems that allows interpolating the transfer function at a given frequency poin…

math.DS2021

Passivity preserving model reduction via spectral factorization

Tobias Breiten, Benjamin Unger

We present a novel model-order reduction (MOR) method for linear time-invariant systems that preserves passivity and is thus suited for structure-preserving MOR for port-Hamiltonia…