Inverse Optimal Control Problem: the Sub-Riemannian Case

Frédéric Jean; Sofya Maslovskaya; Igor Zelenko

doi:10.1016/j.ifacol.2017.08.105

Journal Articles IFAC-PapersOnLine Year : 2017

Inverse Optimal Control Problem: the Sub-Riemannian Case

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Frédéric Jean

Function : Author
PersonId : 2209
IdHAL : frederic-jean
ORCID : 0000-0001-8170-076X
IdRef : 14660086X

Optimisation et commande

Sofya Maslovskaya

Function : Author

Optimisation et commande

Igor Zelenko

Function : Author
PersonId : 1000091

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

Optimal control sub-Riemannian geometry optimal trajectories geodesics inverse problem nonholonomic systems projective equivalence affine equivalence

Domains

Optimization and Control [math.OC] Differential Geometry [math.DG] Metric Geometry [math.MG]

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inverseSR_short.pdf (279.77 Ko)

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Frédéric Jean : Connect in order to contact the contributor

https://ensta-paris.hal.science/hal-01452458

Submitted on : Wednesday, February 1, 2017-10:18:13 PM

Last modification on : Tuesday, August 6, 2024-10:56:04 AM

Dates and versions

hal-01452458 , version 1 (01-02-2017)

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HAL Id : hal-01452458 , version 1
DOI : 10.1016/j.ifacol.2017.08.105

Cite

Frédéric Jean, Sofya Maslovskaya, Igor Zelenko. Inverse Optimal Control Problem: the Sub-Riemannian Case. IFAC-PapersOnLine, 2017, 50 (1), ⟨10.1016/j.ifacol.2017.08.105⟩. ⟨hal-01452458⟩

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Inverse Optimal Control Problem: the Sub-Riemannian Case

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