A contact covariant approach to optimal control with applications to sub-Riemannian geometry |
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| Authors: | Michał Jóźwikowski Witold Respondek |
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| Affiliation: | 1.Center for Theoretical Physics,Polish Academy of Sciences,Warsaw,Poland;2.Institute of Mathematics,Polish Academy of Sciences,Warsaw,Poland;3.Normandie Université,INSA de Rouen, Laboratoire de Mathématiques,Saint-étienne-du-Rouvray,France |
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| Abstract: | We discuss contact geometry naturally related with optimal control problems (and Pontryagin Maximum Principle). We explore and expand the observations of Ohsawa (Autom J IFAC 55:1–5, 2015), providing simple and elegant characterizations of normal and abnormal sub-Riemannian extremals. |
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