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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2021, Volume 27, Number 2, Pages 49–58
DOI: https://doi.org/10.21538/0134-4889-2021-27-2-49-58 (Mi timm1813) 		 
An Object with a Striking Device and a Hostile Observer in Three-Dimensional Space

V. I. Berdyshev

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
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DOI: https://doi.org/10.21538/0134-4889-2021-27-2-49-58
Abstract: An autonomous object with a high-speed striking device is moving under observation, and a bodily observer has to hide 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 of motion. 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.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2021-1383
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).
Received: 05.03.2021
Revised: 02.04.2021
Accepted: 12.04.2021
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2022, Volume 317, Issue 1, Pages S27–S36
DOI: https://doi.org/10.1134/S0081543822030038
Bibliographic databases:
Document Type: Article
UDC: 519.62
MSC: 00A05
Language: Russian
Citation: V. I. Berdyshev, “An Object with a Striking Device and a Hostile Observer in Three-Dimensional Space”, Trudy Inst. Mat. i Mekh. UrO RAN, 27, no. 2, 2021, 49–58; Proc. Steklov Inst. Math. (Suppl.), 317, suppl. 1 (2022), S27–S36
Citation in format AMSBIB
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\by V.~I.~Berdyshev
\paper An Object with a Striking Device and a Hostile Observer in Three-Dimensional Space
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2021
\vol 27
\issue 2
\pages 49--58
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\crossref{https://doi.org/10.21538/0134-4889-2021-27-2-49-58}
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\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2022
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\issue , suppl. 1
\pages S27--S36
\crossref{https://doi.org/10.1134/S0081543822030038}
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