Bilinear Optimal Control of the Fokker-Planck Equation**This work was partially supported by the EU under the 7th Framework Program, Marie Curie Initial Training Network FP7-PEOPLE-2010-ITN SADCO, GA 264735-SADCO, by the DFG project Model Predictive Control for the Fokker-Planck Equation, GR 1569/15-1, and by the INdAM through the GNAMPA Research Project 2015 ”Analisi e controllo di equazioni a derivate parziali nonlineari”.