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, 2013, Volume 19, Number 1, Pages 41–48 (Mi timm897)  

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

Capture of two cooperative evaders in linear recurrent differential games

M. N. Vinogradova, N. N. Petrov, N. A. Solov'eva

Udmurt State University

Abstract: A linear nonstationary problem of a conflict interaction of a group of pursuers with two evaders with equal dynamic and inertial capabilities of all the participants is considered under the assumptions that the fundamental matrix of the homogeneous system is a recurrent function and the evaders use the same control. Sufficient conditions for the capture of the evaders are obtained. Illustrative examples are given.

Keywords: differential game, group pursuit, recurrent function.

Full text: PDF file (157 kB)
References: PDF file   HTML file

Bibliographic databases:
UDC: 517.977
Received: 01.09.2012

Citation: M. N. Vinogradova, N. N. Petrov, N. A. Solov'eva, “Capture of two cooperative evaders in linear recurrent differential games”, Trudy Inst. Mat. i Mekh. UrO RAN, 19, no. 1, 2013, 41–48

Citation in format AMSBIB
\Bibitem{VinPetSol13}
\by M.~N.~Vinogradova, N.~N.~Petrov, N.~A.~Solov'eva
\paper Capture of two cooperative evaders in linear recurrent differential games
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2013
\vol 19
\issue 1
\pages 41--48
\mathnet{http://mi.mathnet.ru/timm897}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3408359}
\elib{http://elibrary.ru/item.asp?id=18839263}


Linking options:
  • http://mi.mathnet.ru/eng/timm897
  • http://mi.mathnet.ru/eng/timm/v19/i1/p41

    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. 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
    2. N. N. Petrov, N. A. Solov'eva, “Multiple capture in Pontryagin's recursive example with phase constraints”, Proc. Steklov Inst. Math. (Suppl.), 293, suppl. 1 (2016), 174–182  mathnet  crossref  mathscinet  isi  elib
    3. N. N. Petrov, N. A. Soloveva, “Mnogokratnaya poimka ubegayuschego v lineinykh rekurrentnykh differentsialnykh igrakh”, Tr. IMM UrO RAN, 23:1 (2017), 212–218  mathnet  crossref  elib
    4. A. I. Bichurina, “Presledovanie gruppy zhestko skoordinirovannykh ubegayuschikh v odnoi lineinoi zadache s drobnymi proizvodnymi”, Izv. IMI UdGU, 50 (2017), 13–20  mathnet  crossref  elib
    5. M. N. Vinogradova, “Gruppovoe presledovanie dvukh ubegayuschikh v lineinoi igre s prostoi matritsei”, Izv. IMI UdGU, 50 (2017), 21–28  mathnet  crossref  elib
    6. A. Ya. Narmanov, K. A. Schelchkov, “Zadacha ukloneniya v nelineinoi differentsialnoi igre s diskretnym upravleniem”, Izv. IMI UdGU, 52 (2018), 75–85  mathnet  crossref  elib
    7. A. I. Machtakova, “Presledovanie zhestko skoordinirovannykh ubegayuschikh v lineinoi zadache s drobnymi proizvodnymi i prostoi matritsei”, Izv. IMI UdGU, 54 (2019), 45–54  mathnet  crossref  elib
  • Trudy Instituta Matematiki i Mekhaniki UrO RAN
    Number of views:
    This page:257
    Full text:59
    References:52
    First page:6

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