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Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2012, Issue 3, Pages 48–52 (Mi vuu335)  

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

MATHEMATICS

Simple pursuit with phase constraints in a class of impulse strategies

E. V. Kotlyachkova

Udmurt State University, Izhevsk, Russia

Abstract: The present paper deals with a simple group pursuit problem in a class of impulse strategies. The first part considers the impulse strategy of an evader with phase restrictions on the evader's state. It is assumed that the evader does not leave a convex polyhedral set. We obtain sufficient conditions for the capture of the evader by one of the pursuers. The second part deals with the impulse strategies of pursuers. Sufficient conditions for the capture of an evader by one of the pursuers under the assumption that the evader does not leave a convex polyhedral set, are stated.

Keywords: differential game, group pursuit, impulse strategy.

Full text: PDF file (132 kB)
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Document Type: Article
UDC: 517.917
MSC: 49N70, 49N75
Received: 07.05.2012

Citation: E. V. Kotlyachkova, “Simple pursuit with phase constraints in a class of impulse strategies”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2012, no. 3, 48–52

Citation in format AMSBIB
\Bibitem{Kot12}
\by E.~V.~Kotlyachkova
\paper Simple pursuit with phase constraints in a~class of impulse strategies
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2012
\issue 3
\pages 48--52
\mathnet{http://mi.mathnet.ru/vuu335}


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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. E. V. Kotlyachkova, “K nestatsionarnoi zadache prostogo presledovaniya v klasse impulsnykh strategii”, Izv. IMI UdGU, 2015, no. 1(45), 106–113  mathnet  elib
  • Вестник Удмуртского университета. Математика. Механика. Компьютерные науки
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