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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2016, Volume 22, Number 4, Pages 87–93
DOI: https://doi.org/10.21538/0134-4889-2016-22-4-87-93 (Mi timm1356) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Moving object in $\mathbb{R}^2$ and group of observers

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/10.21538/0134-4889-2016-22-4-87-93
Abstract: We formulate an extremal problem of constructing a trajectory of a moving object that is farthest from a group of observers with fixed visibility cones. Under some constraints on the arrangement of the observers we give a characterization and a method of construction of an optimal trajectory.
Keywords: moving object, observer, optimal trajectory.
Received: 15.09.2016
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2018, Volume 300, Issue 1, Pages 49–55
DOI: https://doi.org/10.1134/S0081543818020062
Bibliographic databases:
Document Type: Article
UDC: 519.62
MSC: 00A05
Language: Russian
Citation: V. I. Berdyshev, “Moving object in $\mathbb{R}^2$ and group of observers”, Trudy Inst. Mat. i Mekh. UrO RAN, 22, no. 4, 2016, 87–93; Proc. Steklov Inst. Math. (Suppl.), 300, suppl. 1 (2018), 49–55
Citation in format AMSBIB
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\by V.~I.~Berdyshev
\paper Moving object in $\mathbb{R}^2$ and group of observers
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\yr 2016
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\pages 87--93
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\jour Proc. Steklov Inst. Math. (Suppl.)
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    • This publication is cited in the following 1 articles:
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