V.I. Berdyshev. The motion in $\mathbb{R}^3$ of an observer under threat from an object ... P. 23-26

For an observer moving over a cone, a way of motion is proposed that allows the observer to monitor an object on the largest possible part of its trajectory under the threat from mini-objects launched by the object in the process of its motion.

Keywords: navigation, optimal trajectory, moving object, observer, video sensor, locator

Received March 11, 2023

Revised April 15, 2023

Accepted April 24, 2023

Funding Agency: This study is a part of the research carried out at the Ural Mathematical Center and supported by the Ministry of Science and Higher Education of the Russian Federation (agreement no. 075-02-2023-913).

Vitalii Ivanovich Berdyshev, RAS Academician, Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences, Yekaterinburg, 620108 Russia, e-mail: bvi@imm.uran.ru

REFERENCES

1.   Berdyshev V.I. Optimal trajectory of an observer tracking the motion of an object equipped with a striking device. Dokl. Math., 2021, vol. 104, no. 1, pp. 221–224. doi: 10.1134/S1064562421040037

2.   Lyu V. Metody planirovaniya puti v srede s prepyatstviyami (obzor) [Path planning methods in an environment with obstacles (a review)]. Matematika i Mat. Modelirovanie, 2018, vol. 1, pp. 15–58 (in Russian). doi: 10.24108/mathm.0118.0000098

Cite this article as: V.I. Berdyshev. The motion in $\mathbb{R}^3$ of an observer under threat from an object. Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2023, vol. 29, no. 2, pp. 23–26.