Publications

Submitted Articles (2)

Journal Articles (6)

Book Chapters (2)

Proceedings (8)

Software (9)

Theses (2)

You can also find my publications on my Google Scholar and ORCID profiles.


Submitted Articles

  1. P. Benner, J. Heiland, and S. W. R. Werner. Robust output-feedback stabilization for incompressible flows using low-dimensional H-infinity-controllers. e-print 2103.01608, arXiv, 2021. math.OC. URL: https://arxiv.org/abs/2103.01608

  2. 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. math.OC. URL: https://arxiv.org/abs/2010.06331


Journal Articles

  1. 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

  2. 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

  3. 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

  4. 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

  5. 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

  6. 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. 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.

  2. 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.

  3. 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

  4. P. Benner, J. Heiland, and S. W. R. Werner. Robust controller versus numerical model uncertainties for stabilization of Navier-Stokes equations. IFACPapersOnLine, 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

  5. 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

  6. P. Benner and S. W. R. Werner. Model reduction of descriptor systems with the MORLAB toolbox. IFAC-PapersOnLine 9th Vienna International Conference on Mathematical Modelling MATHMOD 2018, Vienna, Austria, 21–23 February 2018, 51(2):547–552, 2018. doi:10.1016/j.ifacol.2018.03.092
    Open Access Published

  7. 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.

  8. 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: GPL v3

  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: GPL v3

  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: AGPL v3

  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: GPL v3

  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: GPL v3

  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: AGPL v3

  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: AGPL v3


Theses

  1. S. Werner. Hankel-norm approximation of descriptor systems. Master’s thesis, Department of Mathematics, Otto von Guericke University, Magdeburg, Germany, 2016. doi:10.25673/4507

  2. S. Werner. Numerische Berechnung der Eigenwerte großer Hamiltonisch-positiver Matrizen. Bachelor’s thesis, Department of Mathematics, Otto von Guericke University, Magdeburg, Germany, 2014.