Projekte: Model Predictive Control for the Fokker-Planck Equation

Borzì, Alfio ; Grüne, Lars:
Towards a solution of mean-field control problems using model predictive control.
In: IFAC-PapersOnLine. Bd. 53 (2020) Heft 2 . - S. 4973-4978.
DOI: https://doi.org/10.1016/j.ifacol.2020.12.1086

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

Fleig, Arthur ; Grüne, Lars:
Strict dissipativity analysis for classes of optimal control problems involving probability density functions.
In: Mathematical Control and Related Fields. Bd. 11 (2021) Heft 4 . - S. 935-964.
DOI: https://doi.org/10.3934/mcrf.2020053

Fleig, Arthur ; Grüne, Lars:
On Dissipativity of the Fokker-Planck Equation for the Ornstein-Uhlenbeck Process.
In: IFAC-PapersOnLine. Bd. 52 (2019) Heft 2 . - S. 13-18.
DOI: https://doi.org/10.1016/j.ifacol.2019.08.003

Fleig, Arthur ; Grüne, Lars:
L²-Tracking of Gaussian Distributions via Model Predictive Control for the Fokker-Planck Equation.
In: Vietnam Journal of Mathematics. Bd. 46 (2018) . - S. 915-948.
DOI: https://doi.org/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. Bd. 174 (2017) Heft 2 . - S. 408-427.
DOI: https://doi.org/10.1007/s10957-017-1120-5

Fleig, Arthur ; Guglielmi, Roberto:
Bilinear Optimal Control of the Fokker-Planck Equation.
In: IFAC-PapersOnLine. Bd. 49 (2016) Heft 8 . - S. 254-259.
DOI: https://doi.org/10.1016/j.ifacol.2016.07.450

Fleig, Arthur ; Grüne, Lars:
Estimates on the Minimal Stabilizing Horizon Length in Model Predictive Control for the Fokker-Planck Equation.
In: IFAC-PapersOnLine. Bd. 49 (2016) Heft 8 . - S. 260-265.
DOI: https://doi.org/10.1016/j.ifacol.2016.07.451

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