Title data
Fleig, Arthur ; Grüne, Lars:
L²Tracking of Gaussian Distributions via Model Predictive Control for the FokkerPlanck Equation.
In: Vietnam Journal of Mathematics.
Vol. 46
(15 September 2018)
Issue 4
.
 pp. 915948.
ISSN 23052228
DOI: https://doi.org/10.1007/s1001301803098
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Deutsche Forschungsgemeinschaft 
Abstract in another language
This paper presents first results for the stability analysis of Model Predictive Control schemes applied to the FokkerPlanck equation for tracking probability density functions. The analysis is carried out for linear dynamics and Gaussian distributions, where the distance to the desired reference is measured in the L²norm. We present results for general such systems with and without control penalization. Refined results are given for the special case of the OrnsteinUhlenbeck process. Some of the results establish stability for the shortest possible (discrete time) optimization horizon N=2.
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L²Tracking of Gaussian Distributions via Model Predictive Control for the FokkerPlanck Equation. (deposited 10 Feb 2018 22:00)

L²Tracking of Gaussian Distributions via Model Predictive Control for the FokkerPlanck Equation. (deposited 13 Feb 2018 08:38)
 L²Tracking of Gaussian Distributions via Model Predictive Control for the FokkerPlanck Equation. (deposited 15 Oct 2018 06:11) [Currently Displayed]

L²Tracking of Gaussian Distributions via Model Predictive Control for the FokkerPlanck Equation. (deposited 13 Feb 2018 08:38)