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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 R2 and group of observers

V. I. Berdyshev

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
Full-text PDF (168 kB) Citations (1)
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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 R2 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
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2016
\vol 22
\issue 4
\pages 87--93
\mathnet{http://mi.mathnet.ru/timm1356}
\crossref{https://doi.org/10.21538/0134-4889-2016-22-4-87-93}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3590924}
\elib{https://elibrary.ru/item.asp?id=27350125}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2018
\vol 300
\issue , suppl. 1
\pages 49--55
\crossref{https://doi.org/10.1134/S0081543818020062}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000433518400004}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85047537136}
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  • https://www.mathnet.ru/eng/timm1356
  • https://www.mathnet.ru/eng/timm/v22/i4/p87
    • This publication is cited in the following 1 articles:
    1. V. I. Berdyshev, “Observers and a moving object in R3”, Dokl. Math., 96:2 (2017), 538–540  crossref  crossref  mathscinet  zmath  isi  elib  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Trudy Instituta Matematiki i Mekhaniki UrO RAN
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    Full-text PDF :87
    References:54
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