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Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2013, Issue 4, Pages 20–26 (Mi vuu398)  

This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

Capture of a group of evaders in a conflict-controlled process

A. I. Blagodatskikh

Udmurt State University, ul. Universitetskaya, 1, Izhevsk, 426034, Russia

Abstract: The present paper deals with the problem of pursuit of the group of $m$ evaders $(m\geqslant1)$ in a conflict-controlled process with equal opportunities. We say that a multiple capture in the problem of pursuit of one evader ($m=1$) holds if the specified number of pursuers catch him, possibly at different times. The problem of the simultaneous multiple capture of one evader requires that capture moments coincide. We say that the simultaneous multiple capture of the whole group of evaders $(m\geqslant2)$ holds if the simultaneous multiple capture of every evader holds at the same time. We obtain necessary and sufficient conditions for simultaneous multiple capture of the whole group of evaders in terms of initial positions of the participants.

Keywords: capture, multiple capture, simultaneous multiple capture, pursuit, evasion, differential games, conflict-controlled processes.

Full text: PDF file (189 kB)
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UDC: 517.977
MSC: 49N70, 49N75
Received: 01.11.2013

Citation: A. I. Blagodatskikh, “Capture of a group of evaders in a conflict-controlled process”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2013, no. 4, 20–26

Citation in format AMSBIB
\Bibitem{Bla13}
\by A.~I.~Blagodatskikh
\paper Capture of a~group of evaders in a~conflict-controlled process
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2013
\issue 4
\pages 20--26
\mathnet{http://mi.mathnet.ru/vuu398}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. A. I. Blagodatskikh, “Zadachi gruppovogo presledovaniya s ravnymi vozmozhnostyami pri nalichii zaschitnikov ubegayuschego”, Izv. IMI UdGU, 2015, no. 2(46), 13–20  mathnet  elib
  • Вестник Удмуртского университета. Математика. Механика. Компьютерные науки
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