Inverse Optimal Control Problem: the Sub-Riemannian Case

Frédéric Jean; Sofya Maslovskaya; Igor Zelenko

doi:10.1016/j.ifacol.2017.08.105

Journal articles

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

Document type :

Journal articles

Domain :

Mathematics [math] / Optimization and Control [math.OC]

Mathematics [math] / Differential Geometry [math.DG]

Mathematics [math] / Metric Geometry [math.MG]

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Submitted on : Wednesday, February 1, 2017 - 10:18:13 PM
Last modification on : Monday, January 11, 2021 - 2:52:01 PM

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