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arXiv · 1509.01628

A contact covariant approach to optimal control with applications to sub-Riemannian geometry

Michał Jóźwikowski·Witold Respondek
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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, 2015], providing simple and elegant characterizations of normal and abnormal sub-Riemannian extremals.

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Michał Jóźwikowski, Witold Respondek. 2015-09-04. A contact covariant approach to optimal control with applications to sub-Riemannian geometry. https://doi.org/10.1007/s00498-016-0176-3

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