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On the regularity of optimal controls

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Abstract

We outline some recent results on the regularity of optimal controls. We formulate the general regularity problem for open-loop and closed-loop controls, and explain how results for the open-loop case have implications for the closed-loop case as well. We then describe a number of results on the regularity of open-loop controls.

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Partially supported by a fellowship from the Alfred P. Sloan Foundation.

Partially supported by NSF Grant No. DMS83-01678-01.

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Schättler, H.M., Sussmann, H.J. On the regularity of optimal controls. Z. angew. Math. Phys. 38, 292–301 (1987). https://doi.org/10.1007/BF00945414

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