Abstract
We prove some regularity properties of the optimal controls for the smooth bracket generating systems with scalar control parameters, and show that the Cantor sets cannot be the sets of switching points.
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Partially supported by the Russian Fund for Fundamental Research and grant No. 95-01-00310a.
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Agrachev, A.A. On regularity properties of extremal controls. Journal of Dynamical and Control Systems 1, 319–324 (1995). https://doi.org/10.1007/BF02269372
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DOI: https://doi.org/10.1007/BF02269372