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Team > Dr. Arthur Fleig

Overview
Overview
Arthur Fleig Dr. Arthur Fleig
Arthur Fleig

Faculty of Mathematics, Physics and Computer Science
Chair of Serious Games


Research Areas

  • Optimal control with partial differential equations
  • Model predictive control
  • Fokker-Planck Equation
Arthur Fleig

Faculty of Mathematics, Physics and Computer Science
Chair of Serious Games


Publications

Article in a journal (peer-reviewed)

Fischer, Florian; Bachynskyi, Myroslav; Klar, Markus; Fleig, Arthur; Müller, Jörg
Reinforcement learning control of a biomechanical model of the upper extremity
in Scientific Reports vol. 11 (2021)
doi:10.1038/s41598-021-93760-1 ...

Fleig, Arthur; Grüne, Lars
Strict dissipativity analysis for classes of optimal control problems involving probabilit ...
in Mathematical Control and Related Fields vol. 11 (2021) issue 4. - pp. 935-964
doi:10.3934/mcrf.2020053 ...

Fleig, Arthur; Grüne, Lars
On Dissipativity of the Fokker-Planck Equation for the Ornstein-Uhlenbeck Process
in IFAC-PapersOnLine vol. 52 (2019) issue 2. - pp. 13-18
doi:10.1016/j.ifacol.2019.08.003 ...

Fleig, Arthur; Grüne, Lars
L²-Tracking of Gaussian Distributions via Model Predictive Control for the Fokker-Planck E ...
in Vietnam Journal of Mathematics vol. 46 (2018) issue 4. - pp. 915-948
doi:10.1007/s10013-018-0309-8 ...

Fleig, Arthur; Guglielmi, Roberto
Optimal Control of the Fokker-Planck Equation with Space-Dependent Controls
in Journal of Optimization Theory and Applications vol. 174 (2017) issue 2. - pp. 408-427
doi:10.1007/s10957-017-1120-5 ...

Fleig, Arthur; Guglielmi, Roberto
Bilinear Optimal Control of the Fokker-Planck Equation
in IFAC-PapersOnLine vol. 49 (2016) issue 8. - pp. 254-259
doi:10.1016/j.ifacol.2016.07.450 ...
2nd IFAC Workshop on Control of Systems Governed by Partial Differential Equations - CPDE 2016, Bertinoro, Italien

Fleig, Arthur; Grüne, Lars
Estimates on the Minimal Stabilizing Horizon Length in Model Predictive Control for the Fo ...
in IFAC-PapersOnLine vol. 49 (2016) issue 8. - pp. 260-265
doi:10.1016/j.ifacol.2016.07.451 ...
2nd IFAC Workshop on Control of Systems Governed by Partial Differential Equations - CPDE 2016, Bertinoro, Italien

Article in a book (peer-reviewed)

Fleig, Arthur; Grüne, Lars
Model Predictive Control for the Fokker-Planck equation : analysis and structural insight
In: University of Minnesota (ed.): 22nd International Symposium on Mathematical Theory of Networks and Systems : July 12-15, 2016 (MTNS 2016, Proceedings) - Minneapolis, Minnesota, 2016. - pp. 689-690
http://hdl.handle.net/11299/181518

Fleig, Arthur; Grüne, Lars; Guglielmi, Roberto
Some results on Model Predictive Control for the Fokker-Planck equation
MTNS 2014 : 21st International Symposium on Mathematical Theory of Networks and Systems, July 7-11, 2014, Groningen, The Netherlands ; Proceedings - Groningen, The Netherlands: University of Groningen, 2014. - pp. 1203-1206
http://fwn06.housing.rug.nl/mtns2014-papers/extend ...

Preprint, postprint, working paper, discussion paper

Fischer, Florian; Fleig, Arthur; Klar, Markus; Müller, Jörg
Optimal Feedback Control for Modeling Human-Computer Interaction
Cornell University
Bayreuth, 2021. - 62 pp.
https://arxiv.org/abs/2110.00443

Fischer, Florian; Fleig, Arthur; Klar, Markus; Grüne, Lars; Müller, Jörg
An Optimal Control Model of Mouse Pointing Using the LQR
Bayreuth, 2020
https://arxiv.org/pdf/2002.11596.pdf

Doctoral thesis

Fleig, Arthur
Model Predictive Control for the Fokker--Planck Equation
Bayreuth, 2021. - VI, 145 pp.
doi:10.15495/EPub_UBT_00005421 ...
(thesis, 2021, Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)

Arthur Fleig

Faculty of Mathematics, Physics and Computer Science
Chair of Serious Games


Dr. Arthur Fleig
Research Assistant

Universitätsstraße 30
AI Building, Room 1.48
95447 Bayreuth


Phone: +49 (0)921 / 55-7765
E-mail: arthur.fleig@uni-bayreuth.de
ResearchGate: Link

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