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 2016 · math.OCShow all
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math.OC2016★ 13 cited
Controlling of a mobile robot with a trailer and its nilpotent approximation
Andrey A. Ardentov
The work studies a number of approaches to solving motion planning problem for a mobile robot with a trailer. Different control models of car-like robots are considered from the di…
math.OC2016★ 2 cited
Relation between Euler's Elasticae and Sub-Riemannian Geodesics on SE(2)
Alexey Mashtakov, Andrei Ardentov, Yuri Sachkov
In this note we describe a relation between Euler's elasticae and sub-Riemannian geodesics on SE(2). Analyzing the Hamiltonian system of Pontryagin maximum principle we show that t…
math.OC2016★ 24 cited
Tracking of Lines in Spherical Images via Sub-Riemannian Geodesics on SO(3)
A. Mashtakov, R. Duits, Yu. Sachkov +2
In order to detect salient lines in spherical images, we consider the problem of minimizing the functional for a curve…