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

V. N. Berestovskii; I. A. Zubareva

doi:10.1134/S0037446620040023

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

V. N. Berestovskii, I. A. Zubareva

Regional Mathematical Center

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

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.

Original language	English
Pages (from-to)	575-588
Number of pages	14
Journal	Siberian Mathematical Journal
Volume	61
Issue number	4
DOIs	https://doi.org/10.1134/S0037446620040023
Publication status	Published - 1 Jul 2020

Keywords

(ab)normal extremal
extremal
left-invariant sub-Finsler metric
optimal control
polar curve
Pontryagin maximum principle

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10.1134/S0037446620040023

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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.",

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KW - left-invariant sub-Finsler metric

KW - optimal control

KW - polar curve

KW - Pontryagin maximum principle

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