Abnormal Extremals of Left-Invariant Sub-Finsler Quasimetrics on Four-Dimensional Lie Groups | Sciact - Система учета научной деятельности ИМ СО РАН

Abnormal Extremals of Left-Invariant Sub-Finsler Quasimetrics on Four-Dimensional Lie Groups Научная публикация

Журнал

Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260

Вых. Данные

Год: 2021, Том: 62, Номер: 3, Страницы: 383-399 Страниц : 17 DOI: 10.1134/S0037446621030010

Ключевые слова

(strictly) abnormal extremal; 514.752.8:514.763:514.765:514.764.227; extremal; left-invariant sub-Finsler quasimetric; Lie algebra; optimal control; polar; Pontryagin maximum principle; time-optimal problem

Авторы

Berestovskii V.N. ¹ , Zubareva I.A. ²

Организации

1	Sobolev Institute of Mathematics, Koptuyg Av., 4, Novosibirsk, 630090, Russian Federation
2	Омский филиал ФГБУН «Институт математики им. С.Л. Соболева СО РАН».

We find the abnormal extremals on four-dimensional connected Lie groups with left-invariant sub-Finsler quasimetric defined bya seminorm on a two-dimensional subspace of the Lie algebra generating the algebra.In terms of the structure constants of a Lie algebra and the Minkowski support functionof the unit ball of the seminorm on the two-dimensional subspace of a Lie algebrawhich defines a quasimetric, we establish a criterion for the strict abnormality of these extremals.

Berestovskii V.N. , Zubareva I.A.
Abnormal Extremals of Left-Invariant Sub-Finsler Quasimetrics on Four-Dimensional Lie Groups
Siberian Mathematical Journal. 2021. V.62. N3. P.383-399. DOI: 10.1134/S0037446621030010 WOS Scopus OpenAlex

Web of science:	WOS:000655743500001
Scopus:	2-s2.0-85107200837
OpenAlex:	W3168436489

БД	Цитирований
Scopus	5
OpenAlex	6
Web of science	5