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Sibirskii Matematicheskii Zhurnal, 2020, Volume 61, Number 4, Pages 735–751
DOI: https://doi.org/10.33048/smzh.2020.61.402 (Mi smj6016) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Extremals of a left-invariant sub-finsler metric on the engel group

V. N. Berestovskiiab, I. A. Zubarevac

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
c Omsk Branch of Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (506 kB) Citations (6)
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DOI: https://doi.org/10.33048/smzh.2020.61.402
Abstract: Using the Pontryagin maximum principle for the time-optimal problem in coordinates of the first kind, we find the extremals of an arbitrary left-invariant sub-Finsler metric on the Engel group defined by a distribution of rank 2.
Keywords: (ab)normal extremal, extremal, left-invariant sub-Finsler metric, optimal control, polar curve, Pontryagin maximum principle.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2019-1613
The work is supported by the Mathematical Center in Akademgorodok under Agreement no. 075–15–2019–1613 with the Ministry of Science and Higher Education of the Russian Federation.
Received: 09.01.2020
Revised: 06.04.2020
Accepted: 17.06.2020
English version:
Siberian Mathematical Journal, 2020, Volume 61, Issue 4, Pages 575–588
DOI: https://doi.org/10.1134/S0037446620040023
Bibliographic databases:
Document Type: Article
UDC: 514.752.8+514.763+514.765+514.764.227
MSC: 35R30
Language: Russian
Citation: V. N. Berestovskii, I. A. Zubareva, “Extremals of a left-invariant sub-finsler metric on the engel group”, Sibirsk. Mat. Zh., 61:4 (2020), 735–751; Siberian Math. J., 61:4 (2020), 575–588
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
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