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The two FP control problems are related to the problem of determining open- and closed-loop controls for a stochastic process whose probability density function is modelled by the FP equation. In both cases, existence and PMP characterisation of optimal controls are proved, and PMP-based numerical optimization schemes are implemented that solve the PMP optimality conditions to determine the controls sought. Results of experiments are presented that successfully validate the proposed computational framework and allow to compare the two control strategies.<\/jats:p>","DOI":"10.1007\/s10589-020-00187-x","type":"journal-article","created":{"date-parts":[[2020,4,29]],"date-time":"2020-04-29T07:03:42Z","timestamp":1588143822000},"page":"499-533","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":20,"title":["The Pontryagin maximum principle for solving Fokker\u2013Planck optimal control problems"],"prefix":"10.1007","volume":"76","author":[{"given":"Tim","family":"Breitenbach","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Alfio","family":"Borz\u00ec","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2020,4,29]]},"reference":[{"key":"187_CR1","series-title":"Pure and Applied Mathematics","volume-title":"Sobolev Spaces","author":"RA Adams","year":"2003","unstructured":"Adams, R.A., Fournier, J.: Sobolev Spaces. 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