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Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2009, Issue 3, Pages 3–11 (Mi vuu22)  

This article is cited in 11 scientific papers (total in 11 papers)

MATHEMATICS

On one problem of simple pursuit

A. S. Bannikov

Udmurt State University

Abstract: A differential game of the group of persecutors and one escapee is considered at equal dynamic opportunities of all participants. Necessary and sufficient conditions for capture are received in the case where the escapee is constrained by phase restrictions.

Keywords: differential game, phase restrictions, piece-program strategy and counterstrategy.

Full text: PDF file (142 kB)
References: PDF file   HTML file
UDC: 519.8(045)
MSC: 49N70, 49N75
Received: 23.04.2009

Citation: A. S. Bannikov, “On one problem of simple pursuit”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2009, no. 3, 3–11

Citation in format AMSBIB
\Bibitem{Ban09}
\by A.~S.~Bannikov
\paper On one problem of simple pursuit
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2009
\issue 3
\pages 3--11
\mathnet{http://mi.mathnet.ru/vuu22}


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    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. A. S. Bannikov, N. N. Petrov, “On a nonstationary problem of group pursuit”, Proc. Steklov Inst. Math. (Suppl.), 271, suppl. 1 (2010), S41–S52  mathnet  crossref  isi  elib
    2. A. S. Bannikov, “Uklonenie ot gruppy nestatsionarnykh inertsionnykh ob'ektov”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 2010, no. 1, 3–10  mathnet
    3. Nadezhda A. Soloveva, “Odna zadacha gruppovogo presledovaniya v lineinykh rekurrentnykh differentsialnykh igrakh”, MTIP, 3:1 (2011), 81–90  mathnet
    4. D. V. Sakharov, “O dvukh differentsialnykh igrakh prostogo gruppovogo presledovaniya”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 2012, no. 1, 50–59  mathnet
    5. Marina N. Vinogradova, “O poimke dvukh ubegayuschikh v nestatsionarnoi zadache prostogo presledovaniya”, MTIP, 4:1 (2012), 21–31  mathnet
    6. A. S. Bannikov, “K nestatsionarnoi zadache prostogo presledovaniya”, Izv. IMI UdGU, 2012, no. 1(39), 10–11  mathnet  elib
    7. M. N. Vinogradova, “O poimke dvukh ubegayuschikh v zadache prostogo presledovaniya”, Izv. IMI UdGU, 2012, no. 1(39), 26–27  mathnet
    8. Denis V. Sakharov, “Odna zadacha gruppovogo presledovaniya v lineinoi pochti periodicheskoi differentsialnoi igre”, MTIP, 4:3 (2012), 86–100  mathnet
    9. N. N. Petrov, K. A. Schelchkov, “K zadache Chernousko”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 2012, no. 4, 62–67  mathnet
    10. A. S. Bannikov, “Nekotorye nestatsionarnye zadachi gruppovogo presledovaniya”, Izv. IMI UdGU, 2013, no. 1(41), 3–46  mathnet
    11. D. V. Sakharov, “Odna zadacha gruppovogo presledovaniya v primere Pontryagina”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 2013, no. 4, 125–131  mathnet
  • Вестник Удмуртского университета. Математика. Механика. Компьютерные науки
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