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Regular and Chaotic Dynamics, 2017, Volume 22, Issue 8, Pages 949–954
DOI: https://doi.org/10.1134/S1560354717080044 (Mi rcd301) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Extremal Controls in the Sub-Riemannian Problem on the Group of Motions of Euclidean Space

Alexey P. Mashtakov, A. Yu. Popov

Program Systems Institute of RAS, Pereslavl-Zalessky, Yaroslavl Region, 152020 Russia
Citations (3)
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DOI: https://doi.org/10.1134/S1560354717080044
Abstract: For the sub-Riemannian problem on the group of motions of Euclidean space we present explicit formulas for extremal controls in the special case where one of the initial momenta is fixed.
Keywords: sub-Riemannian geometry, special Euclidean motion group, extremal controls.
Funding agency Grant number
Russian Science Foundation 17-11-01387
This work was supported by the Russian Science Foundation under grant 17-11-01387 and performed at the Ailamazyan Program Systems Institute of the Russian Academy of Sciences.
Received: 17.08.2017
Accepted: 01.11.2017
Bibliographic databases:
Document Type: Article
MSC: 58E10
Language: English
Citation: Alexey P. Mashtakov, A. Yu. Popov, “Extremal Controls in the Sub-Riemannian Problem on the Group of Motions of Euclidean Space”, Regul. Chaotic Dyn., 22:8 (2017), 949–954
Citation in format AMSBIB
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\by Alexey P. Mashtakov, A.~Yu.~Popov
\paper Extremal Controls in the Sub-Riemannian Problem on the Group of Motions of Euclidean Space
\jour Regul. Chaotic Dyn.
\yr 2017
\vol 22
\issue 8
\pages 949--954
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\crossref{https://doi.org/10.1134/S1560354717080044}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85042480232}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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