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

Authors: Berdyshev V.I.¹
Affiliations:
1. Krasovskii Institute of Mathematics and Mechanics Ural Branch of the Russian Academy of Sciences
Issue: Vol 513, No 1 (2023)
Pages: 15-20
Section: MATHEMATICS
URL: https://ogarev-online.ru/2686-9543/article/view/247064
DOI: https://doi.org/10.31857/S2686954323700261
EDN: https://elibrary.ru/CMCVBS
ID: 247064

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Abstract
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Abstract

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.

Keywords

navigation, autonomous vehicle, opposition, trajectory, observer

About the authors

V. I. Berdyshev

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

Author for correspondence.
Email: bvi@imm.uran.ru
Russian Federation, Yekaterinburg

References

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.