Title data
Fleig, Arthur ; Grüne, Lars:
Model Predictive Control for the FokkerPlanck equation : analysis and structural insight.
In:
University of Minnesota
(ed.):
22nd International Symposium on Mathematical Theory of Networks and Systems : July 1215, 2016 (MTNS 2016, Proceedings). 
Minneapolis, Minnesota
,
2016
.  pp. 689690
ISBN 9781532313855
This is the latest version of this item.
Project information
Project title: 



Project financing: 
Deutsche Forschungsgemeinschaft 
Abstract in another language
For the control of ensembles governed by controlled stochastic differential equations we follow the approach to control the corresponding probability density function. To this end, we propose to use Model Predictive Control (MPC) for the FokkerPlanck equation. In this talk we start by describing the basic setup and illustrating the approach by numerical examples. Then, we provide first results on the analysis of the stability and performance of the MPC approach. Finally, we discuss the structure of the controller resulting from the MPC approach, particularly its dependence on space, time and on the probability density function of the ensemble under consideration.
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Model Predictive Control for the FokkerPlanck equation: analysis and structural insight. (deposited 03 Jun 2017 21:00)
 Model Predictive Control for the FokkerPlanck equation : analysis and structural insight. (deposited 09 Jun 2017 06:52) [Currently Displayed]