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Inverse Optimal Control Problem: the Sub-Riemannian Case

Frédéric Jean 1 Sofya Maslovskaya 1 Igor Zelenko 2
1 UMA - Unité de Mathématiques Appliquées
2 Department of Mathematics [Texas A&M University]
Abstract : The object of this paper is to study the uniqueness of solutions of inverse control problems in the case where the dynamics is given by a control-affine system without drift and the costs are length and energy functionals.
Keywords : nonholonomic systems inverse problem geodesics Optimal control sub-Riemannian geometry optimal trajectories projective equivalence affine equivalence
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Submitted on : Wednesday, February 1, 2017 - 10:18:13 PM
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Frédéric Jean, Sofya Maslovskaya, Igor Zelenko. Inverse Optimal Control Problem: the Sub-Riemannian Case. IFAC-PapersOnLine, Elsevier, 2017, 50 (1), ⟨10.1016/j.ifacol.2017.08.105⟩. ⟨hal-01452458⟩

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