Publications

Submitted Articles (6)

Journal Articles (9)

Book Chapters (2)

Proceedings (9)

Software (9)

Theses (3)

You can also find my publications on my Google Scholar and ORCID profiles. A detailed list of citable code packages accompaning my publications can be found at the end of my Software page.


Submitted Articles

  1. S. W. R. Werner and B. Peherstorfer. Context-aware controller inference for stabilizing dynamical systems from scarce data. e-print 2207.11049, arXiv, 2022. Optimization and Control (math.OC). doi:10.48550/arXiv.2207.11049

  2. P. Benner, S. Gugercin, and S. W. R. Werner. A unifying framework for tangential interpolation of structured bilinear control systems. e-print 2206.01657, arXiv, 2022. Numerical Analysis (math.NA). doi:10.48550/arXiv.2206.01657

  3. S. W. R. Werner, M. L. Overton, and B. Peherstorfer. Multi-fidelity robust controller design with gradient sampling. e-print 2205.15050, arXiv, 2022. Optimization and Control (math.OC). doi:10.48550/arXiv.2205.15050

  4. S. W. R. Werner and B. Peherstorfer. On the sample complexity of stabilizing linear dynamical systems from data. e-print 2203.00474, arXiv, 2022. Optimization and Control (math.OC). doi:10.48550/arXiv.2203.00474

  5. Q. Aumann and S. W. R. Werner. Structured model order reduction for vibro-acoustic problems using interpolation and balancing methods. e-print 2201.06518, arXiv, 2022. Numerical Analysis (math.NA). doi:10.48550/arXiv.2201.06518

  6. R. S. Beddig, P. Benner, I. Dorschky, T. Reis, P. Schwerdtner, M. Voigt, and S. W. R. Werner. Structure-preserving model reduction for dissipative mechanical systems. e-print 2010.06331, arXiv, 2020. Optimization and Control (math.OC). doi:10.48550/arXiv.2010.06331


Journal Articles

  1. P. Benner, J. Heiland, and S. W. R. Werner. A low-rank solution method for Riccati equations with indefinite quadratic terms. Numer. Algorithms, 2022. doi:10.1007/s11075-022-01331-w

  2. P. Benner, J. Heiland, and S. W. R. Werner. Robust output-feedback stabilization for incompressible flows using low-dimensional \(\mathcal{H}_{\infty}\)-controllers. Comput. Optim. Appl., 82(1):225–249, 2022. doi:10.1007/s10589-022-00359-x
    Open Access Published

  3. P. Benner, Y. Filanova, D. Karachalios, S. Monem Abdelhafez, J. Przybilla, and S. W. R. Werner. Mathematische Komplexitätsreduktion: Modellreduktion dynamischer Systeme. Mitteilungen der Deutschen Mathematiker-Vereinigung, 29(4):198–204, 2021. doi:10.1515/dmvm-2021-0075

  4. R. Jendersie and S. W. R. Werner. A comparison of numerical methods for model reduction of dense discrete-time systems. at-Automatisierungstechnik, 69(8):683–694, 2021. doi:10.1515/auto-2021-0035

  5. P. Benner, S. Gugercin, and S. W. R. Werner. Structure-preserving interpolation for model reduction of parametric bilinear systems. Automatica J. IFAC, 132:109799, 2021. doi:10.1016/j.automatica.2021.109799

  6. P. Benner, S. Gugercin, and S. W. R. Werner. Structure-preserving interpolation of bilinear control systems. Adv. Comput. Math., 47(3):43, 2021. doi:10.1007/s10444-021-09863-w
    Open Access Published

  7. P. Benner and S. W. R. Werner. Frequency- and time-limited balanced truncation for large-scale second-order systems. Linear Algebra Appl., 623:68–103, 2021. 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
    Open Access Published

  8. P. Benner and S. W. R. Werner. Hankel-norm approximation of large-scale descriptor systems. Adv. Comput. Math., 46(3):40, 2020. doi:10.1007/s10444-020-09750-w
    Open Access Published

  9. J. Saak, D. Siebelts, and S. W. R. Werner. A comparison of second-order model order reduction methods for an artificial fishtail. at-Automatisierungstechnik, 67(8):648–667, 2019. doi:10.1515/auto-2019-0027


Book Chapters

  1. P. Benner and S. W. R. Werner. MORLAB—The Model Order Reduction LABoratory. In P. Benner, T. Breiten, H. Faßbender, M. Hinze, T. Stykel, and R. Zimmermann, editors, Model Reduction of Complex Dynamical Systems, volume 117 of International Series of Numerical Mathematics, pages 393–415. Birkhäuser, Cham, 2021. doi:10.1007/978-3-030-72983-7_19

  2. P. Benner and S. W. R. Werner. MORLAB – A model order reduction framework in MATLAB and Octave. In A. M. Bigatti, J. Carette, J. H. Davenport, M. Joswig, and T. de Wolff, editors, Mathematical Software – ICMS 2020, volume 12097 of Lecture Notes in Comput. Sci., pages 432–441. Springer International Publishing, Cham, 2020. doi:10.1007/978-3-030-52200-1_43


Proceedings

  1. S. W. R. Werner, I. V. Gosea, and S. Gugercin. Structured vector fitting framework for mechanical systems. IFAC-Pap., 55(20):163–168, 2022. 10th Vienna International Conference on Mathematical Modelling MATHMOD 2022. doi:10.1016/j.ifacol.2022.09.089
    Open Access Published

  2. P. Benner and S. W. R. Werner. Frequenz- und zeitbeschränktes balanciertes Abschneiden für Systeme zweiter Ordnung. In T. Meurer and F. Woittennek, editors, 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, pages 460–474, 2019.

  3. P. Benner and S. W. R. Werner. MORLAB – Model Order Reduction LABoratory. In T. Meurer and F. Woittennek, editors, 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, pages 337–342, 2019.

  4. R. S. Beddig, P. Benner, I. Dorschky, T. Reis, P. Schwerdtner, M. Voigt, and S. W. R. Werner. Model reduction for second-order dynamical systems revisited. Proc. Appl. Math. Mech., 19(1):e201900224, 2019. doi:10.1002/pamm.201900224
    Open Access Published

  5. P. Benner, J. Heiland, and S. W. R. Werner. Robust controller versus numerical model uncertainties for stabilization of Navier-Stokes equations. IFAC-PapersOnLine, 52(2):25–29, 2019. 3rd IFAC/IEEE CSS Workshop on Control of Systems Governed by Partial Differential Equation CPDE 2019. doi:10.1016/j.ifacol.2019.08.005
    Open Access Published

  6. P. Benner and S. W. R. Werner. Balancing related model reduction with the MORLAB toolbox. Proc. Appl. Math. Mech., 18(1):e201800083, 2018. doi:10.1002/pamm.201800083

  7. P. Benner and S. W. R. Werner. Model reduction of descriptor systems with the MORLAB toolbox. IFAC-PapersOnLine, 51(2):547–552, 2018. 9th Vienna International Conference on Mathematical Modelling MATHMOD 2018. doi:10.1016/j.ifacol.2018.03.092
    Open Access Published

  8. P. Benner and S. W. R. Werner. MORLAB - Modellreduktion in MATLAB. In T. Meurer and F. Woittennek, editors, 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, pages 508–517, 2017.

  9. P. Benner and S. W. R. Werner. On the transformation formulas of the Hankel-norm approximation. Proc. Appl. Math. Mech., 17(1):823–824, 2017. doi:10.1002/pamm.201710379


Software

  1. P. Benner and S. W. R. Werner. SOLBT – Limited balanced truncation for large-scale sparse second-order systems (version 3.0), April 2021. doi:10.5281/zenodo.4600763
    Open Source Software License: BSD 2-Clause

  2. P. Benner and S. W. R. Werner. SOMDDPA – Second-Order Modally-Damped Dominant Pole Algorithm (version 2.0), April 2021. doi:10.5281/zenodo.3997649
    Open Source Software License: BSD 2-Clause

  3. P. Benner and S. W. R. Werner. SOMDDPA – Second-Order Modally-Damped Dominant Pole Algorithm (version 1.1), January 2020. doi:10.5281/zenodo.3332706
    Open Source Software License: GPLv3+

  4. P. Benner and S. W. R. Werner. Limited balanced truncation for large-scale sparse second-order systems (version 2.0), January 2020. doi:10.5281/zenodo.3331592
    Open Source Software License: GPLv3+

  5. P. Benner and S. W. R. Werner. MORLAB – Model Order Reduction LABoratory (version 5.0), August 2019. see also: https://www.mpi-magdeburg.mpg.de/projects/morlab. doi:10.5281/zenodo.3332716
    Open Source Software License: AGPLv3+

  6. P. Benner and S. W. R. Werner. Limited balanced truncation for large-scale sparse second-order systems (version 1.0), February 2019. doi:10.5281/zenodo.2553926
    Open Source Software License: GPLv3+

  7. P. Benner and S. W. R. Werner. SOMDDPA – Second-Order Modally Damped Dominant Pole Algorithm (version 1.0), February 2019. doi:10.5281/zenodo.2553902
    Open Source Software License: GPLv3+

  8. P. Benner and S. W. R. Werner. MORLAB – Model Order Reduction LABoratory (version 4.0), December 2018. see also: https://www.mpi-magdeburg.mpg.de/projects/morlab. doi:10.5281/zenodo.1574083
    Open Source Software License: AGPLv3+

  9. P. Benner and S. W. R. Werner. MORLAB-3.0 – model order reduction laboratory, September 2017. see also: https://www.mpi-magdeburg.mpg.de/projects/morlab. doi:10.5281/zenodo.842659
    Open Source Software License: AGPLv3+


Theses

  1. S. W. R. Werner. Structure-Preserving Model Reduction for Mechanical Systems. Dissertation, Otto-von-Guericke-Universität, Magdeburg, Germany, 2021. doi:10.25673/38617
    Open Access Published

  2. S. Werner. Hankel-norm approximation of descriptor systems. Master’s thesis, Otto-von-Guericke-Universität, Magdeburg, Germany, 2016. doi:10.25673/4507
    Open Access Published

  3. S. Werner. Numerische Berechnung der Eigenwerte großer Hamiltonisch-positiver Matrizen. Bachelor’s thesis, Otto-von-Guericke-Universität, Magdeburg, Germany, 2014.