V.I. Berdyshev. The motion of an observer over a cone in $\mathbb{R}^3$ under counteraction from an object ... P. 49-54

An algorithm is proposed for the motion of an observer over the surface of a given cone with the aim of tracking the motion of an object possessing a collection of miniobjects threatening the observer.

Keywords: navigation, optimal trajectory, moving object, observer

Received August 21, 2023

Revised August 21, 2023

Accepted August 28, 2023

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. An observer moving along a cone in $\mathbb{R}^3$ under conditions of Object’s Opposition. Doklady Mathematics, 2023, pp. 1–5. doi: 10.1134/S1064562423700989

2.   Lyu V. Metody planirovaniya puti v srede s prepyatstviyami (obzor). 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 of an observer over a cone in $\mathbb{R}^3$ under counteraction from an object. Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2023, vol. 29, no. 4, pp. 49–54.