@TECHREPORT{WerP22a,
author = {Werner, S.~W~.R. and Peherstorfer, B.},
title = {Context-aware controller inference for stabilizing dynamical
systems from scarce data},
institution = {arXiv},
type = {e-print},
number = {2207.11049},
note = {Optimization and Control (math.OC)},
year = {2022},
doi = {10.48550/arXiv.2207.11049}
}
@TECHREPORT{BenGW22,
author = {Benner, P. and Gugercin, S. and Werner, S.~W~.R.},
title = {A unifying framework for tangential interpolation of
structured bilinear control systems},
institution = {arXiv},
type = {e-print},
number = {2206.01657},
note = {Numerical Analysis (math.NA)},
year = {2022},
doi = {10.48550/arXiv.2206.01657}
}
@TECHREPORT{WerOP22,
author = {Werner, S.~W.~R. and Overton, M.~L. and Peherstorfer, B.},
title = {Multi-fidelity robust controller design with gradient
sampling},
institution = {arXiv},
type = {e-print},
number = {2205.15050},
note = {Optimization and Control (math.OC)},
year = {2022},
doi = {10.48550/arXiv.2205.15050}
}
@TECHREPORT{WerP22,
author = {Werner, S.~W~.R. and Peherstorfer, B.},
title = {On the sample complexity of stabilizing linear dynamical
systems from data},
institution = {arXiv},
type = {e-print},
number = {2203.00474},
note = {Optimization and Control (math.OC)},
year = {2022},
doi = {10.48550/arXiv.2203.00474}
}
@TECHREPORT{AumW22,
author = {Aumann, Q. and Werner, S.~W.~R.},
title = {Structured model order reduction for vibro-acoustic problems
using interpolation and balancing methods},
institution = {arXiv},
type = {e-print},
number = {2201.06518},
note = {Numerical Analysis (math.NA)},
year = {2022},
doi = {10.48550/arXiv.2201.06518}
}
@TECHREPORT{BedBDetal20,
author = {Beddig, R.~S. and Benner, P. and Dorschky, I. and Reis, T. and
Schwerdtner, P. and Voigt, M. and Werner, S.~W.~R.},
title = {Structure-Preserving Model Reduction for Dissipative
Mechanical Systems},
institution = {arXiv},
type = {e-print},
number = {2010.06331},
note = {Optimization and Control (math.OC)},
year = {2020},
doi = {10.48550/arXiv.2010.06331}
}
@ARTICLE{BenHW22a,
author = {Benner, P. and Heiland, J. and Werner, S.~W.~R.},
title = {A low-rank solution method for {R}iccati equations with
indefinite quadratic terms},
journal = {Numer. Algorithms},
volume = {},
number = {},
pages = {},
year = {2022},
doi = {10.1007/s11075-022-01331-w}
}
@ARTICLE{BenHW22,
author = {Benner, P. and Heiland, J. and Werner, S.~W.~R.},
title = {Robust output-feedback stabilization for incompressible flows
using low-dimensional {$\mathcal{H}_{\infty}$}-controllers},
journal = {Comput. Optim. Appl.},
volume = {82},
number = {1},
pages = {225--249},
year = {2022},
doi = {10.1007/s10589-022-00359-x}
}
@ARTICLE{BenFKetal21,
author = {Benner, P. and Filanova, Y. and Karachalios, D. and
Monem~Abdelhafez, S. and Przybilla, J. and Werner, S.~W.~R.},
title = {Mathematische {K}omplexit{\"a}tsreduktion: {M}odellreduktion
dynamischer {S}ysteme},
journal = {Mit\-tei\-lun\-gen der Deut\-schen
Ma\-the\-ma\-ti\-ker-Ver\-ei\-ni\-gung},
volume = {29},
number = {4},
pages = {198--204},
year = {2021},
doi = {10.1515/dmvm-2021-0075}
}
@ARTICLE{JenW21,
author = {Jendersie, R. and Werner, S.~W.~R.},
title = {A comparison of numerical methods for model reduction of dense
discrete-time systems},
journal = {at-Auto\-mati\-sie\-rungs\-tech\-nik},
year = {2021},
volume = {69},
number = {8},
pages = {683--694},
doi = {10.1515/auto-2021-0035}
}
@ARTICLE{BenGW21,
author = {Benner, P. and Gugercin, S. and Werner, S.~W.~R.},
title = {Structure-Preserving Interpolation for Model Reduction of
Parametric Bilinear Systems},
journal = {Automatica J. IFAC},
volume = {132},
pages = {109799},
year = {2021},
doi = {10.1016/j.automatica.2021.109799}
}
@ARTICLE{BenGW21a,
author = {Benner, P. and Gugercin, S. and Werner, S.~W.~R.},
title = {Structure-preserving interpolation of bilinear control
systems},
journal = {Adv. Comput. Math.},
volume = {47},
number = {3},
pages = {43},
year = {2021},
doi = {10.1007/s10444-021-09863-w}
}
@ARTICLE{BenW21b,
author = {Benner, P. and Werner, S.~W.~R.},
title = {Frequency- and time-limited balanced truncation for
large-scale second-order systems},
journal = {Linear Algebra Appl.},
year = {2021},
volume = {623},
pages = {68--103},
note = {Special issue in honor of P.~Van~Dooren, Edited by
F.~Dopico, D.~Kressner, N.~Mastronardi, V.~Mehrmann, and
R.~Vandebril},
doi = {10.1016/j.laa.2020.06.024}
}
@ARTICLE{BenW20d,
author = {Benner, P. and Werner, S.~W.~R.},
title = {{H}ankel-norm approximation of large-scale descriptor
systems},
journal = {Adv. Comput. Math.},
volume = {46},
number = {3},
pages = {40},
year = {2020},
doi = {10.1007/s10444-020-09750-w}
}
@ARTICLE{SaaSW19,
author = {Saak, J. and Siebelts, D. and Werner, S.~W.~R.},
title = {A comparison of second-order model order reduction methods for
an artificial fishtail},
journal = {at-Auto\-mati\-sie\-rungs\-tech\-nik},
year = {2019},
volume = {67},
number = {8},
pages = {648--667},
doi = {10.1515/auto-2019-0027}
}
@INCOLLECTION{BenW21c,
author = {Benner, P. and Werner, S.~W.~R.},
title = {{MORLAB}---{T}he {M}odel {O}rder {R}eduction {LAB}oratory},
booktitle = {Model Reduction of Complex Dynamical Systems},
editor = {Benner, P. and Breiten, T. and Fa{\ss}bender, H. and Hinze,
M. and Stykel, T. and Zimmermann, R.},
series = {International Series of Numerical Mathematics},
volume = {171},
year = {2021},
pages = {393--415},
publisher = {Birkh{\"a}user},
address = {Cham},
doi = {10.1007/978-3-030-72983-7_19}
}
@INCOLLECTION{BenW20e,
author = {Benner, P. and Werner, S.~W.~R.},
title = {{MORLAB} -- {A} Model Order Reduction Framework in {MATLAB}
and {O}ctave},
booktitle = {Mathematical Software -- ICMS 2020},
editor = {Bigatti, A.~M. and Carette, J. and Davenport, J.~H. and
Joswig, M. and de~Wolff, T.},
series = {Lecture Notes in Comput. Sci.},
volume = {12097},
year = {2020},
publisher = {Springer International Publishing},
address = {Cham},
pages = {432--441},
doi = {10.1007/978-3-030-52200-1_43}
}
@ARTICLE{WerGG22,
author = {Werner, S.~W.~R. and Gosea, I.~V. and Gugercin, S.},
title = {Structured vector fitting framework for mechanical systems},
journal = {IFAC-Pap.},
year = {2022},
volume = {55},
number = {20},
pages = {163--168},
note = {10th Vienna International Conference on Mathematical
Modelling {MATHMOD} 2022},
doi = {10.1016/j.ifacol.2022.09.089}
}
@INPROCEEDINGS{BenW19d,
author = {Benner, P. and Werner, S.~W.~R.},
title = {{F}requenz- und zeitbeschr{\"a}nktes balanciertes
{A}bschneiden f{\"u}r {S}ysteme zweiter {O}rdnung},
booktitle = {Tagungsband GMA-FA 1.30 'Modellbildung, Identifikation und
Simulation in der Automatisierungstechnik' und GMA-FA 1.40
'Systemtheorie und Regelungstechnik', Workshops in
Anif, Salzburg, 23.-27.09.2019},
year = {2019},
editor = {Meurer, T. and Woittennek, F.},
pages = {460--474}
}
@INPROCEEDINGS{BenW19c,
author = {Benner, P. and Werner, S.~W.~R.},
title = {{MORLAB} -- {M}odel {O}rder {R}eduction {LAB}oratory},
booktitle = {Tagungsband GMA-FA 1.30 'Modellbildung, Identifikation und
Simulation in der Automatisierungstechnik' und GMA-FA 1.40
'Systemtheorie und Regelungstechnik', Workshops in
Anif, Salzburg, 23.-27.09.2019},
year = {2019},
editor = {Meurer, T. and Woittennek, F.},
pages = {337--342}
}
@ARTICLE{BedBDetal19,
author = {Beddig, R.~S. and Benner, P. and Dorschky, I. and Reis, T. and
Schwerdtner, P. and Voigt, M. and Werner, S.~W.~R.},
title = {Model Reduction for Second-Order Dynamical Systems Revisited},
journal = {Proc. Appl. Math. Mech.},
year = {2019},
volume = {19},
number = {1},
pages = {e201900224},
doi = {10.1002/pamm.201900224}
}
@ARTICLE{BenHW19,
author = {Benner, P. and Heiland, J. and Werner, S.~W.~R.},
title = {Robust Controller versus Numerical Model Uncertainties for
Stabilization of {N}avier-{S}tokes Equations},
journal = {IFAC-PapersOnLine},
year = {2019},
volume = {52},
number = {2},
pages = {25--29},
note = {3rd {IFAC/IEEE CSS} Workshop on Control of Systems Governed by
Partial Differential Equation {CPDE} 2019},
doi = {10.1016/j.ifacol.2019.08.005}
}
@ARTICLE{BenW18a,
author = {Benner, P. and Werner, S.~W.~R.},
title = {Balancing Related Model Reduction with the {MORLAB} Toolbox},
journal = {Proc. Appl. Math. Mech.},
year = {2018},
volume = {18},
number = {1},
pages = {e201800083},
doi = {10.1002/pamm.201800083}
}
@ARTICLE{BenW18,
author = {Benner, P. and Werner, S.~W.~R.},
title = {Model Reduction of Descriptor Systems with the {MORLAB}
Toolbox},
journal = {IFAC-PapersOnLine},
year = {2018},
volume = {51},
number = {2},
pages = {547--552},
note = {9th Vienna International Conference on Mathematical Modelling
{MATHMOD} 2018},
doi = {10.1016/j.ifacol.2018.03.092}
}
@INPROCEEDINGS{BenW17b,
author = {Benner, P. and Werner, S.~W.~R.},
title = {{MORLAB} - {M}odellreduktion in {MATLAB}},
booktitle = {Tagungsband GMA-FA 1.30 'Modellierung, Identifikation und
Simulation in der Automatisierungstechnik' und GMA-FA 1.40
'Theoretische Verfahren der Regelungstechnik', Workshop in
Anif, Salzburg, 18.-22.09.2017},
year = {2017},
editor = {Meurer, T. and Woittennek, F.},
pages = {508--517}
}
@ARTICLE{BenW17,
author = {Benner, P. and Werner, S.~W.~R.},
title = {On the transformation formulas of the {H}ankel-norm
approximation},
journal = {Proc. Appl. Math. Mech.},
year = {2017},
volume = {17},
number = {1},
pages = {823--824},
doi = {10.1002/pamm.201710379}
}
@MISC{BenW21a,
author = {Benner, P. and Werner, S.~W.~R.},
title = {{SOLBT} -- {L}imited Balanced Truncation for Large-Scale
Sparse Second-Order Systems (version 3.0)},
year = {2021},
month = apr,
doi = {10.5281/zenodo.4600763}
}
@MISC{BenW21,
author = {Benner, P. and Werner, S.~W.~R.},
title = {{SOMDDPA} -- {S}econd-{O}rder {M}odally-{D}amped {D}ominant
{P}ole {A}lgorithm (version 2.0)},
year = {2021},
month = apr,
doi = {10.5281/zenodo.3997649}
}
@MISC{BenW20a,
author = {Benner, P. and Werner, S.~W.~R.},
title = {{SOMDDPA} -- {S}econd-{O}rder {M}odally-{D}amped {D}ominant
{P}ole {A}lgorithm (version 1.1)},
year = {2020},
month = jan,
doi = {10.5281/zenodo.3332706}
}
@MISC{BenW20,
author = {Benner, P. and Werner, S.~W.~R.},
title = {Limited Balanced Truncation for Large-Scale Sparse
Second-Order Systems (version 2.0)},
year = {2020},
month = jan,
doi = {10.5281/zenodo.3331592}
}
@MISC{BenW19b,
author = {Benner, P. and Werner, S.~W.~R.},
title = {{MORLAB} -- {Model Order Reduction LABoratory} (version 5.0)},
year = {2019},
month = aug,
doi = {10.5281/zenodo.3332716},
note = {see also:
\url{https://www.mpi-magdeburg.mpg.de/projects/morlab}}
}
@MISC{BenW19a,
author = {Benner, P. and Werner, S.~W.~R.},
title = {Limited Balanced Truncation for Large-Scale Sparse
Second-Order Systems (version 1.0)},
year = {2019},
month = feb,
doi = {10.5281/zenodo.2553926}
}
@MISC{BenW19,
author = {Benner, P. and Werner, S.~W.~R.},
title = {{SOMDDPA} -- {S}econd-{O}rder {M}odally {D}amped {D}ominant
{P}ole {A}lgorithm (version 1.0)},
year = {2019},
month = feb,
doi = {10.5281/zenodo.2553902}
}
@MISC{BenW18b,
author = {Benner, P. and Werner, S.~W.~R.},
title = {{MORLAB} -- {Model Order Reduction LABoratory} (version 4.0)},
year = {2018},
month = dec,
doi = {10.5281/zenodo.1574083},
note = {see also:
\url{https://www.mpi-magdeburg.mpg.de/projects/morlab}}
}
@MISC{BenW17a,
author = {Benner, P. and Werner, S.~W.~R.},
title = {{MORLAB}-3.0 -- Model Order Reduction Laboratory},
year = {2017},
month = sep,
note = {see also:
\url{https://www.mpi-magdeburg.mpg.de/projects/morlab}},
doi = {10.5281/zenodo.842659}
}
@PHDTHESIS{Wer21,
author = {Werner, S.~W.~R.},
title = {Structure-Preserving Model Reduction for Mechanical Systems},
school = {Otto-von-Guericke-Universit{\"a}t},
year = {2021},
address = {Magdeburg, Germany},
type = {{D}issertation},
doi = {10.25673/38617}
}
@MASTERSTHESIS{Wer16,
author = {Werner, S.},
title = {Hankel-Norm Approximation of Descriptor Systems},
school = {Otto-von-Guericke-Universit{\"a}t},
year = {2016},
address = {Magdeburg, Germany},
doi = {10.25673/4507}
}
@MASTERSTHESIS{Wer14,
author = {Werner, S.},
title = {{N}umerische {B}erechnung der {E}igenwerte gro{\ss}er
{H}amiltonisch-positiver {M}atrizen},
school = {Otto-von-Guericke-Universit{\"a}t},
year = {2014},
address = {Magdeburg, Germany},
type = {{B}achelor's thesis}
}