33 citations
- University of LiverpoolGB6 papers
- Russian Academy of SciencesRU5 papers
- Eindhoven University of TechnologyNL2 papers
- Institute for Systems AnalysisRU2 papers
- Nanjing University of Science and TechnologyCN2 papers
- Scuola Internazionale Superiore di Studi AvanzatiIT2 papers
- University of JyväskyläFI2 papers
- University of PereslavlRU2 papers
- V. A. Trapeznikov Institute of Control SciencesRU2 papers
- Zhejiang Sci-Tech UniversityCN2 papers
- Centre d'Analyse et de Mathématique SocialesFR1 paper
- Centre National de la Recherche ScientifiqueFR1 paper
Showing 2018Show all
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math.DG2018
Sub-Finsler geodesics on the Cartan group
A. Ardentov, E. Le Donne, Yu. Sachkov
This paper is a continuation of the work by the same authors on the Cartan group equipped with the sub-Finsler norm. We start by giving a detailed presentation of the…
math.DG2018
A sub-Finsler problem on the Cartan group
A. Ardentov, E. Le Donne, Yu. Sachkov
In this paper we study a sub-Finsler geometric problem on the free-nilpotent group of rank 2 and step 3. Such a group is also called Cartan group and has a natural structure of Car…
math.OC2018★ 1 cited
Extremal Controls in the Sub-Riemannian Problem on the Group of Motions of Euclidean Space
Alexey Mashtakov, Anton Popov
For the sub-Riemannian problem on the group of motions of Euclidean space we present explicit formulas for extremal controls in a special case, when one of the initial momenta is f…