AN OBSERVER MOVING ALONG A CONE IN   \({{\mathbb{R}}^{{\mathbf{3}}}}\)   UNDER CONDITIONS OF OPPOSITION FROM THE OBJECT

V. I. Berdyshev; Бердышев В. И.

doi:10.31857/S2686954323700261

AN OBSERVER MOVING ALONG A CONE IN \({{\mathbb{R}}^{{\mathbf{3}}}}\) UNDER CONDITIONS OF OPPOSITION FROM THE OBJECT

Autores: Berdyshev V.I.¹
Afiliações:
1. Krasovskii Institute of Mathematics and Mechanics Ural Branch of the Russian Academy of Sciences
Edição: Volume 513 (2023)
Páginas: 15-20
Seção: MATHEMATICS
URL: https://kazanmedjournal.ru/2686-9543/article/view/647868
DOI: https://doi.org/10.31857/S2686954323700261
EDN: https://elibrary.ru/CMCVBS
ID: 647868

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Resumo
Sobre autores
Bibliografia
Arquivos suplementares
Estatísticas

Resumo

The paper presents two models of motion of a corporeal observer along a conical surface in \({{\mathbb{R}}^{3}}\), when the observed moving object has a set of high-speed hitting mini-objects.

Palavras-chave

navigation, autonomous vehicle, opposition, trajectory, observer

Sobre autores

V. Berdyshev

Krasovskii Institute of Mathematics and Mechanics Ural Branch of the Russian Academy of Sciences

Autor responsável pela correspondência
Email: bvi@imm.uran.ru
Russian Federation, Yekaterinburg

Bibliografia

Бердышев В.И. Оптимальная траектория наблюдателя, отслеживающего движение объекта с поражающим устройством // Докл. АН. Математика, информатика, процессы управления. 2021. Т. 499. С. 73–76.
Лю В. Методы планирования пути в среде с препятствиями (обзор) // Математика и мат. моделирование. 2018. № 1. С. 15–58.