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Mat. Sb. (N.S.), 1982, Volume 118(160), Number 3(7), Pages 422–430 (Mi msb2262)  

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

On Pontryagin's second method in linear differential games of pursuit

A. A. Azamov


Abstract: An analogue of the Pontryagin alternating integral is introduced; a study is made of its properties, of the connection with the upper Pontryagin integral, and of an application to a pursuit problem; and a duality of theoretical significance in the Pontryagin theory is established.
Bibliography: 12 titles.

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English version:
Mathematics of the USSR-Sbornik, 1983, 46:3, 429–437

Bibliographic databases:

UDC: 519.9
MSC: Primary 90D25, 90D26; Secondary 28B20
Received: 29.09.1981

Citation: A. A. Azamov, “On Pontryagin's second method in linear differential games of pursuit”, Mat. Sb. (N.S.), 118(160):3(7) (1982), 422–430; Math. USSR-Sb., 46:3 (1983), 429–437

Citation in format AMSBIB
\Bibitem{Aza82}
\by A.~A.~Azamov
\paper On Pontryagin's second method in linear differential games of pursuit
\jour Mat. Sb. (N.S.)
\yr 1982
\vol 118(160)
\issue 3(7)
\pages 422--430
\mathnet{http://mi.mathnet.ru/msb2262}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=663153}
\zmath{https://zbmath.org/?q=an:0517.90109|0511.90096}
\transl
\jour Math. USSR-Sb.
\yr 1983
\vol 46
\issue 3
\pages 429--437
\crossref{https://doi.org/10.1070/SM1983v046n03ABEH002944}


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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. M. S. Nikol'skii, “On the lower alternating integral of Pontryagin in linear differential games of pursuit”, Math. USSR-Sb., 56:1 (1987), 33–47  mathnet  crossref  mathscinet  zmath
    2. Azamov A., “Semistability and Duality in the Theory of Pontriagin Alternating Integral”, 299, no. 2, 1988, 265–268  mathscinet  zmath  isi
    3. Fazylov A., Absametov B., “The Survival Problem for Linear Controlled Systems with Integral Constraints”, Differ. Equ., 32:12 (1996), 1654–1657  mathnet  mathscinet  zmath  isi
    4. Iskanadjiev I., “Duality of the Alternating Integral for Quasi-Linear Differential Games”, Nonlinear Anal.-Model Control, 17:2 (2012), 169–181  isi
    5. A. Azamov, I. M. Iskanadjiev, “Pontryagins Alternating Integral for Differential Inclusions with Counteraction”, Contributions to Game Theory and Management, 5 (2012), 33–44  mathnet
    6. Iskanadjiev I.M., “On the Pontryagin Lower Alternating Integral”, J. Automat. Inf. Sci., 45:2 (2013), 33–40  crossref  isi
    7. Iskanadjiev I.M., “Lower Pontryagin'S Alternating Integral For Differential Inclusions”, Cybern. Syst. Anal., 51:5 (2015), 782–791  crossref  mathscinet  zmath  isi
  •   ( ) - 1964–1988 Sbornik: Mathematics (from 1967)
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