Inverse Optimal Control Problem: the Sub-Riemannian Case

Frédéric Jean, Sofya Maslovskaya and Igor Zelenko

2017

Publication type:

Paper in peer-reviewed journals

Journal:

IFAC-PapersOnLine, vol. 50, pp. 500--505

DOI:

10.1016/j.ifacol.2017.08.002

HAL:

hal-01452458

Keywords :

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

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.

BibTeX:

@article{Jea-Mas-Zel-2017,
    author={Frédéric Jean and Sofya Maslovskaya and Igor Zelenko },
    title={Inverse Optimal Control Problem: the Sub-Riemannian Case },
    doi={10.1016/j.ifacol.2017.08.002 },
    journal={IFAC-PapersOnLine },
    year={2017 },
    volume={50 },
    pages={500--505},
}