@TECHREPORT{ReiW25a,
  author =       {Reiter, S. and Werner, S.~W.~R.},
  title =        {Data-driven balanced truncation for second-order systems with
                  generalized proportional damping},
  institution =  {arXiv},
  type =         {e-print},
  number =       {2506.10118},
  note =         {Numerical Analysis (math.NA)},
  year =         {2025},
  doi =          {10.48550/arXiv.2506.10118}
}

@TECHREPORT{AckGGetal25,
  author =       {Ackermann, M.~S. and Gosea, I.~V. and Gugercin, S. and
                  Werner, S.~W.~R.},
  title =        {Second-order {AAA} algorithms for structured data-driven
                  modeling},
  institution =  {arXiv},
  type =         {e-print},
  number =       {2506.02241},
  note =         {Numerical Analysis (math.NA)},
  year =         {2025},
  doi =          {10.48550/arXiv.2506.02241}
}

@TECHREPORT{WerP25a,
  author =       {Werner, S.~W.~R. and Peherstorfer, B.},
  title =        {An adaptive data sampling strategy for stabilizing dynamical
                  systems via controller inference},
  institution =  {arXiv},
  type =         {e-print},
  number =       {2506.01816},
  note =         {Optimization and Control (math.OC)},
  year =         {2025},
  doi =          {10.48550/arXiv.2506.01816}
}

@TECHREPORT{HeiKW24,
  author =       {Heiland, J. and Kim, Y. and Werner, S.~W.~R.},
  title =        {Deep polytopic autoencoders for low-dimensional linear
                  parameter-varying approximations and nonlinear feedback
                  design},
  institution =  {arXiv},
  type =         {e-print},
  number =       {2403.18044},
  note =         {Optimization and Control (math.OC)},
  year =         {2024},
  doi =          {10.48550/arXiv.2403.18044}
}

@ARTICLE{ReiW25,
  author =       {Reiter, S. and Werner, S.~W.~R.},
  title =        {Interpolatory model reduction of dynamical systems with root
                  mean squared error},
  journal =      {IFAC-Pap.},
  year =         {2025},
  volume =       {59},
  number =       {1},
  pages =        {385--390},
  note =         {11th Vienna International Conference on Mathematical
                  Modelling {MATHMOD} 2025},
  doi =          {10.1016/j.ifacol.2025.03.066}
}

@ARTICLE{WerP25,
  author =       {Werner, S.~W~.R. and Peherstorfer, B.},
  title =        {System stabilization with policy optimization on unstable
                  latent manifolds},
  journal =      {Comput. Methods Appl. Mech. Eng.},
  volume =       {433, {P}art~{A}},
  pages =        {117483},
  year =         {2025},
  doi =          {10.1016/j.cma.2024.117483}
}

@ARTICLE{SaaW24,
  author =       {Saak, J. and Werner, S.~W.~R.},
  title =        {Using {$LDL^{T}$} factorizations in {N}ewton's method for
                  solving general large-scale algebraic {R}iccati equations},
  journal =      {Electron. Trans. Numer. Anal.},
  volume =       {62},
  pages =        {95--118},
  year =         {2024},
  doi =          {10.1553/etna_vol62s95}
}

@ARTICLE{AumW24,
  author =       {Aumann, Q. and Werner, S.~W.~R.},
  title =        {Adaptive choice of near-optimal expansion points for
                  interpolation-based structure-preserving model reduction},
  journal =      {Adv. Comput. Math.},
  volume =       {50},
  number =       {4},
  pages =        {79},
  year =         {2024},
  doi =          {10.1007/s10444-024-10166-z}
}

@ARTICLE{WerP24,
  author =       {Werner, S.~W~.R. and Peherstorfer, B.},
  title =        {On the Sample Complexity of Stabilizing Linear Dynamical
                  Systems from Data},
  journal =      {Found. Comput. Math.},
  volume =       {24},
  number =       {3},
  pages =        {955--987},
  year =         {2024},
  doi =          {10.1007/s10208-023-09605-y}
}

@ARTICLE{GosGW24,
  author =       {Gosea, I.~V. and Gugercin, S. and Werner, S.~W.~R.},
  title =        {Structured barycentric forms for interpolation-based
                  data-driven reduced modeling of second-order systems},
  journal =      {Adv. Comput. Math.},
  volume =       {50},
  number =       {2},
  pages =        {26},
  year =         {2024},
  doi =          {10.1007/s10444-024-10118-7}
}

@ARTICLE{BenGW24,
  author =       {Benner, P. and Gugercin, S. and Werner, S.~W.~R.},
  title =        {Structured interpolation for multivariate transfer functions
                  of quadratic-bilinear systems},
  journal =      {Adv. Comput. Math.},
  volume =       {50},
  number =       {2},
  pages =        {18},
  year =         {2024},
  doi =          {10.1007/s10444-024-10109-8}
}

@ARTICLE{BenGW23a,
  author =       {Benner, P. and Gugercin, S. and Werner, S.~W~.R.},
  title =        {A unifying framework for tangential interpolation of
                  structured bilinear control systems},
  journal =      {Numer. Math.},
  volume =       {155},
  number =       {3--4},
  pages =        {445--483},
  year =         {2023},
  doi =          {10.1007/s00211-023-01380-w}
}

@ARTICLE{HeiW23a,
  author =       {Heiland, J. and Werner, S.~W.~R.},
  title =        {Low-Complexity Linear Parameter-Varying Approximations of
                  Incompressible {N}avier-{S}tokes Equations for Truncated
                  State-Dependent {R}iccati Feedback},
  journal =      {{IEEE} Control Syst. Lett.},
  volume =       {7},
  pages =        {3012--3017},
  year =         {2023},
  doi =          {10.1109/LCSYS.2023.3291231}
}

@ARTICLE{WerOP23,
  author =       {Werner, S.~W.~R. and Overton, M.~L. and Peherstorfer, B.},
  title =        {Multifidelity Robust Controller Design with Gradient
                  Sampling},
  journal =      {{SIAM} J. Sci. Comput.},
  volume =       {45},
  number =       {2},
  pages =        {A933--A957},
  year =         {2023},
  doi =          {10.1137/22M1500137}
}

@ARTICLE{WerP23a,
  author =       {Werner, S.~W~.R. and Peherstorfer, B.},
  title =        {Context-aware controller inference for stabilizing dynamical
                  systems from scarce data},
  journal =      {Proc. R. Soc. A: Math. Phys. Eng. Sci.},
  volume =       {479},
  number =       {2270},
  pages =        {20220506},
  year =         {2023},
  doi =          {10.1098/rspa.2022.0506}
}

@ARTICLE{BenHW23,
  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 =       {92},
  number =       {2},
  pages =        {1083--1103},
  year =         {2023},
  doi =          {10.1007/s11075-022-01331-w}
}

@ARTICLE{AumW23,
  author =       {Aumann, Q. and Werner, S.~W.~R.},
  title =        {Structured model order reduction for vibro-acoustic problems
                  using interpolation and balancing methods},
  journal =      {J. Sound Vib.},
  volume =       {543},
  pages =        {117363},
  year =         {2023},
  doi =          {10.1016/j.jsv.2022.117363}
}

@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},
  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{BedBDetal24,
  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},
  booktitle =    {Calm, Smooth and Smart},
  series =       {Lect. Notes Appl. Comput. Mech.},
  volume =       {102},
  editor =       {Eberhard, P.},
  publisher =    {Springer},
  address =      {Cham},
  pages =        {209--230},
  year =         {2024},
  doi =          {10.1007/978-3-031-36143-2_11}
}

@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{BenGW24a,
  author =       {Benner, P. and Gugercin, S. and Werner, S.~W.~R.},
  title =        {Structure-preserving interpolation of quadratic-bilinear
                  systems via regular multivariate transfer functions},
  journal =      {Proc. Appl. Math. Mech.},
  volume =       {24},
  number =       {3},
  pages =        {e202400048},
  year =         {2024},
  doi =          {10.1002/pamm.202400048}
}

@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{BenSW23,
    author =       {Benner, P. and Saak, J. and Werner, S.~W.~R.},
    title  =       {{MORLAB} -- {Model Order Reduction LABoratory}
                    (version 6.0)},
    year   =       {2023},
    month  =       sep,
    doi    =       {10.5281/zenodo.7072831},
    note   =       {See also:
                    \url{https://www.mpi-magdeburg.mpg.de/projects/morlab}}
  }

@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}
}