V.I. Berdyshev. An object with a destructive device and an unfriendly observer in three-dimensional space ... P. 49-58

An autonomous object with a high-speed destructive device is moving under observation, and a bodily observer is hiding from the device behind convex fragments of the surrounding area. The observer tracks the motion of the object in a safe mode. The task of the object is to evade observation by choosing its speed. The observer’s trajectory allowing to follow the object on the largest possible part of the object’s trajectory is constructed.

Keywords: navigation, optimal trajectory, moving object, bodily observer

Received March 5, 2021

Revised April 2, 2021

Accepted April 12, 2021

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. 075-02-2021-1383).

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

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Cite this article as: V.I. Berdyshev. An object with a destructive device and an unfriendly observer in three-dimensional space, Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2021, vol. 27, no. 2, pp. 49–58; Proceedings of the Steklov Institute of Mathematics (Suppl.), 2022, Vol. 317, Suppl. 1, pp. S27–S36.