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This article is cited in 19 scientific papers (total in 19 papers)

The mathematical theory of optimal processes and differential games

L. S. Pontryagin

Full text: PDF file (4771 kB)

Bibliographic databases:
UDC: 517.978

Citation: L. S. Pontryagin, "The mathematical theory of optimal processes and differential games", Topology, ordinary differential equations, dynamical systems, Collection of review articles. 2. On the occasion of the 50th anniversary of the institute, Trudy Mat. Inst. Steklov., 169, 1985,

119–158

Citation in format AMSBIB

\Bibitem{Pon85}
\by L.~S.~Pontryagin
\paper The mathematical theory of optimal processes and differential games
\inbook Topology, ordinary differential equations, dynamical systems
\bookinfo Collection of review articles.~2. On the occasion of the 50th anniversary of the institute
\serial Trudy Mat. Inst. Steklov.
\yr 1985
\vol 169
\pages 119--158
\mathnet{http://mi.mathnet.ru/tm2215}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=836572}
\zmath{https://zbmath.org/?q=an:0616.49001}

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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. N. Kotel'nikova, N. N. Krasovskii, "On correctness of probabilistic stabilization", Autom. Remote Control, 68:10 (2007), 1826–1843mathnetcrossrefmathscinetzmathelibelib
    2. N. N. Krasovskii, A. N. Kotel'nikova, "An approach-evasion differential game: Stochastic guide", Proc. Steklov Inst. Math. (Suppl.), 269, suppl. 1 (2010), S191–S213mathnetcrossrefelib
    3. N. N. Krasovskii, A. N. Kotel'nikova, "On a differential interception game", Proc. Steklov Inst. Math., 268 (2010), 161–206mathnetcrossrefmathscinetzmathisielibelib
    4. Vladimir N. Ushakov, Aleksandr A. Uspenskii, "Defekt funktsii v differentsialnykh igrakh s terminalnoi platoi", MTIP, 2:2 (2010), 99–128mathnetelib
    5. V. N. Ushakov, A. R. Matviichuk, P. D. Lebedev, "Defekt stabilnosti v igrovoi zadache o sblizhenii v moment", Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 2010, no. 3, 87–103mathnetelib
    6. N. N. Krasovskii, A. N. Kotelnikova, "O differentsialnoi igre na perekhvat", Tr. IMM UrO RAN, 16, no. 5, 2010, 113–126mathnet
    7. V. N. Ushakov, A. A. Uspenskii, "On a supplement to the stability property in differential games", Proc. Steklov Inst. Math., 271 (2010), 286–305mathnetcrossrefmathscinetisielib
    8. N. N. Krasovskii, A. N. Kotel'nikova, "Stochastic control in a determinate differential pursuit–evasion game", Autom. Remote Control, 72:2 (2011), 305–322mathnetcrossrefmathscinetzmathisielib
    9. Ushakov V.N., "On the Stability Property in a Game-Theoretic Approach Problem with Fixed Terminal Time", Differ. Equ., 47:7 (2011), 1046–1058elib
    10. V. N. Ushakov, P. D. Lebedev, A. R. Matviychuk, A. G. Malev, "Differential games with fixed terminal time and estimation of the instability degree of sets in these games", Proc. Steklov Inst. Math., 277 (2012), 266–277mathnetcrossrefmathscinetisielibelib
    11. N. Yu. Lukoyanov, A. R. Plaksin, "Differential games for neutral-type systems: An approximation model", Proc. Steklov Inst. Math., 291 (2015), 190–202mathnetcrossrefcrossrefisielib
    12. Igor I. Shevchenko, "Guaranteed escaping strategies", Autom. Remote Control, 78:10 (2017), 1892–1908mathnetcrossref
    13. A. A. Ershov, V. N. Ushakov, "An approach problem for a control system with an unknown parameter", Sb. Math., 208:9 (2017), 1312–1352mathnetcrossrefcrossrefmathscinetadsnasaisielib
    14. Olga O. Yufereva, "Lion and Man game and fixed point free maps", Autom. Remote Control, 79:7 (2018), 1361–1370mathnetcrossrefisi
    15. N. Yu. Lukoyanov, A. R. Plaksin, "Stable Functionals of Neutral-Type Dynamical Systems", Proc. Steklov Inst. Math., 304 (2019), 205–218mathnetcrossrefcrossrefmathscinetisielib
    16. V. N. Ushakov, V. I. Ukhobotov, A. E. Lipin, "An Addition to the Definition of a Stable Bridge and an Approximating System of Sets in Differential Games", Proc. Steklov Inst. Math., 304 (2019), 268–280mathnetcrossrefcrossrefmathscinetisielib
    17. Ushakov V.N. Malev A.G., "Stability Defect Estimation For Sets in a Game Approach Problem At a Fixed Moment of Time", Dokl. Math., 100:3 (2019), 533–537crossrefisi
    18. A. G. Chentsov, "O relaksatsii igrovoi zadachi sblizheniya s elementami prioritetnosti", Tr. IMM UrO RAN, 27, no. 2, 2021, 281–297mathnetcrossrefelib
    19. A. A. Ershov, A. V. Ushakov, V. N. Ushakov, "O dvukh igrovykh zadachakh o sblizhenii", Matem. sb., 212:9 (2021), 40–74mathnetcrossref
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