RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Trudy Inst. Mat. i Mekh. UrO RAN:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Trudy Inst. Mat. i Mekh. UrO RAN, 2011, Volume 17, Number 2, Pages 7–19 (Mi timm692)  

This article is cited in 5 scientific papers (total in 6 papers)

Object and observer: A surveillance problem

V. I. Berdyshev

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences

Abstract: The property of the visibility of an object for an observer is studied in the case when the motion takes place in a space with a fixed bodily set impeding the visibility. Directional derivatives of the visibility function are calculated. The problem of tracking the object by the observer is considered, when the object aims to minimize and the observer aims to maximize the maximum of the visibility function. An algorithm for constructing a trajectory that is best for the object is given for the case when the observer acts optimally.

Keywords: object, observer, visibility function, tracking problem, trajectory.

Full text: PDF file (203 kB)
References: PDF file   HTML file

English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2012, 276, suppl. 1, S35–S47

Bibliographic databases:

UDC: 517.51
Received: 04.02.2011

Citation: V. I. Berdyshev, “Object and observer: A surveillance problem”, Trudy Inst. Mat. i Mekh. UrO RAN, 17, no. 2, 2011, 7–19; Proc. Steklov Inst. Math. (Suppl.), 276, suppl. 1 (2012), S35–S47

Citation in format AMSBIB
\Bibitem{Ber11}
\by V.~I.~Berdyshev
\paper Object and observer: A~surveillance problem
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2011
\vol 17
\issue 2
\pages 7--19
\mathnet{http://mi.mathnet.ru/timm692}
\elib{http://elibrary.ru/item.asp?id=17870018}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2012
\vol 276
\issue , suppl. 1
\pages S35--S47
\crossref{https://doi.org/10.1134/S0081543812020034}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000305482900003}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84859352633}


Linking options:
  • http://mi.mathnet.ru/eng/timm692
  • http://mi.mathnet.ru/eng/timm/v17/i2/p7

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. V. I. Berdyshev, “Kharakteristiki skrytosti dvizhuschegosya ob'ekta”, Tr. IMM UrO RAN, 18, no. 4, 2012, 110–119  mathnet  elib
    2. V. I. Berdyshev, “Differentiation of the concealment function in the case of a convex occluding set”, Proc. Steklov Inst. Math. (Suppl.), 284, suppl. 1 (2014), 59–64  mathnet  crossref  mathscinet  isi  elib
    3. V. I. Berdyshev, “Concealment of a Moving Object From an Observer”, Dokl. Math., 88:3 (2013), 758–761  crossref  mathscinet  zmath  isi  elib  scopus
    4. “Vitalii Ivanovich Berdyshev (on his 75th birthday)”, Proc. Steklov Inst. Math. (Suppl.), 288, suppl. 1 (2015), 1–4  mathnet  crossref  mathscinet
    5. V. I. Berdyshev, “On the problem of tracking a moving object by observers”, Proc. Steklov Inst. Math. (Suppl.), 289, suppl. 1 (2015), 54–63  mathnet  crossref  mathscinet  isi  elib
    6. Berdyshev V.I., “A Moving Object and Observers”, Dokl. Math., 92:2 (2015), 643–645  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
  • Trudy Instituta Matematiki i Mekhaniki UrO RAN
    Number of views:
    This page:258
    Full text:88
    References:33
    First page:11

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2020