activity
20162023
most citedFrequency- and Time-Limited Balanced Truncation for Large-Scale Second-Order Systems

28 citations · 155 across the 18 of their papers we have counts for

collaborators
Showing math.OCShow all

8 papers · 1 filter

math.OC2023★ 9 cited

Low-complexity linear parameter-varying approximations of incompressible Navier-Stokes equations for truncated state-dependent Riccati feedback

Jan Heiland, Steffen W. R. Werner

Nonlinear feedback design via state-dependent Riccati equations is well established but unfeasible for large-scale systems because of computational costs. If the system can be embe…

math.OC2022★ 3 cited

Context-aware controller inference for stabilizing dynamical systems from scarce data

Steffen W. R. Werner, Benjamin Peherstorfer

This work introduces a data-driven control approach for stabilizing high-dimensional dynamical systems from scarce data. The proposed context-aware controller inference approach is…

math.OC2022★ 3 cited

Multi-fidelity robust controller design with gradient sampling

Steffen W. R. Werner, Michael L. Overton, Benjamin Peherstorfer

Robust controllers that stabilize dynamical systems even under disturbances and noise are often formulated as solutions of nonsmooth, nonconvex optimization problems. While methods…

math.OC2022★ 9 cited

On the sample complexity of stabilizing linear dynamical systems from data

Steffen W. R. Werner, Benjamin Peherstorfer

Learning controllers from data for stabilizing dynamical systems typically follows a two step process of first identifying a model and then constructing a controller based on the i…

math.OC2021★ 13 cited

Robust output-feedback stabilization for incompressible flows using low-dimensional -controllers

Peter Benner, Jan Heiland, Steffen W. R. Werner

Output-based controllers are known to be fragile with respect to model uncertainties. The standard -control theory provides a general approach to robust contr…

math.OC2020★ 8 cited

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…

math.OC2020★ 28 cited

Frequency- and Time-Limited Balanced Truncation for Large-Scale Second-Order Systems

Peter Benner, Steffen W. R. Werner

Considering the use of dynamical systems in practical applications, often only limited regions in the time or frequency domain are of interest. Therefor, it usually pays off to com…

math.OC2016★ 13 cited

Hankel-Norm Approximation of Large-Scale Descriptor Systems

Peter Benner, Steffen W. R. Werner

The Hankel-norm approximation is a model reduction method which provides the best approximation in the Hankel semi-norm. In this paper the computation of the optimal Hankel-norm ap…