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Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2011, Issue 1, Pages 3–7 (Mi vuu201)  

This article is cited in 7 scientific papers (total in 7 papers)

MATHEMATICS

About a problem of positional capture of one evader by group of pursuers

A. S. Bannikov

Udmurt State University, Izhevsk, Russia

Abstract: We study a problem of positional capture of one evader by group of pursuers with equal dynamic and inertial capabilities of the players. Sufficient conditions for $\varepsilon$-capture on a finite interval of time are obtained.

Keywords: differential game, position control with guide.

Full text: PDF file (140 kB)
References: PDF file   HTML file
UDC: 517.977
MSC: 49N70, 49N75
Received: 30.09.2010

Citation: A. S. Bannikov, “About a problem of positional capture of one evader by group of pursuers”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2011, no. 1, 3–7

Citation in format AMSBIB
\Bibitem{Ban11}
\by A.~S.~Bannikov
\paper About a~problem of positional capture of one evader by group of pursuers
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2011
\issue 1
\pages 3--7
\mathnet{http://mi.mathnet.ru/vuu201}


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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. M. N. Vinogradova, “O poimke dvukh ubegayuschikh v zadache prostogo presledovaniya s fazovymi ogranicheniyami”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 2011, no. 4, 3–8  mathnet
    2. E. V. Kotlyachkova, “Prostoe presledovanie s fazovymi ogranicheniyami v klasse impulsnykh strategii”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 2012, no. 3, 48–52  mathnet
    3. A. S. Bannikov, “Nekotorye nestatsionarnye zadachi gruppovogo presledovaniya”, Izv. IMI UdGU, 2013, no. 1(41), 3–46  mathnet
    4. M. N. Vinogradova, “O poimke dvukh ubegayuschikh v odnoi nestatsionarnoi zadache gruppovogo presledovaniya s fazovymi ogranicheniyami”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 25:1 (2015), 12–20  mathnet  elib
    5. E. V. Kotlyachkova, “K nestatsionarnoi zadache prostogo presledovaniya v klasse impulsnykh strategii”, Izv. IMI UdGU, 2015, no. 1(45), 106–113  mathnet  elib
    6. M. N. Vinogradova, “Gruppovoe presledovanie dvukh ubegayuschikh v lineinoi igre s prostoi matritsei”, Izv. IMI UdGU, 50 (2017), 21–28  mathnet  crossref  elib
    7. Petrov N.N., Solov'eva N.A., “Capture of Given Number of Evaders in Pontryagin'S Nonstationary Example”, Dyn. Games Appl., 9:3, SI (2019), 614–627  crossref  mathscinet  zmath  isi  scopus
  • Вестник Удмуртского университета. Математика. Механика. Компьютерные науки
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