Extremals of a Left-Invariant Sub-Finsler Metric on the Engel Group

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Extremals of a Left-Invariant Sub-Finsler Metric on the Engel Group. / Berestovskii, V. N.; Zubareva, I. A.

In: Siberian Mathematical Journal, Vol. 61, No. 4, 01.07.2020, p. 575-588.

Research output: Contribution to journal › Article › peer-review

Harvard

Berestovskii, VN & Zubareva, IA 2020, 'Extremals of a Left-Invariant Sub-Finsler Metric on the Engel Group', Siberian Mathematical Journal, vol. 61, no. 4, pp. 575-588. https://doi.org/10.1134/S0037446620040023

APA

Berestovskii, V. N., & Zubareva, I. A. (2020). Extremals of a Left-Invariant Sub-Finsler Metric on the Engel Group. Siberian Mathematical Journal, 61(4), 575-588. https://doi.org/10.1134/S0037446620040023

Vancouver

Berestovskii VN, Zubareva IA. Extremals of a Left-Invariant Sub-Finsler Metric on the Engel Group. Siberian Mathematical Journal. 2020 Jul 1;61(4):575-588. doi: 10.1134/S0037446620040023

Author

Berestovskii, V. N. ; Zubareva, I. A. / Extremals of a Left-Invariant Sub-Finsler Metric on the Engel Group. In: Siberian Mathematical Journal. 2020 ; Vol. 61, No. 4. pp. 575-588.

BibTeX

@article{dfac0f48922e4fda8e87306487cfc0b8,

title = "Extremals of a Left-Invariant Sub-Finsler Metric on the Engel Group",

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",

author = "Berestovskii, {V. N.} and Zubareva, {I. A.}",

year = "2020",

month = jul,

day = "1",

doi = "10.1134/S0037446620040023",

language = "English",

volume = "61",

pages = "575--588",

journal = "Siberian Mathematical Journal",

issn = "0037-4466",

publisher = "MAIK NAUKA/INTERPERIODICA/SPRINGER",

number = "4",

}

RIS

TY - JOUR

T1 - Extremals of a Left-Invariant Sub-Finsler Metric on the Engel Group

AU - Berestovskii, V. N.

AU - Zubareva, I. A.

PY - 2020/7/1

Y1 - 2020/7/1

N2 - 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.

AB - 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.

KW - (ab)normal extremal

KW - extremal

KW - left-invariant sub-Finsler metric

KW - optimal control

KW - polar curve

KW - Pontryagin maximum principle

UR - http://www.scopus.com/inward/record.url?scp=85088797937&partnerID=8YFLogxK

U2 - 10.1134/S0037446620040023

DO - 10.1134/S0037446620040023

M3 - Article

AN - SCOPUS:85088797937

VL - 61

SP - 575

EP - 588

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 4

ER -

ID: 24967369