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Mathematics of the USSR-Izvestiya, 1975, Volume 9, Issue 4, Pages 877–886
DOI: https://doi.org/10.1070/IM1975v009n04ABEH001503 (Mi im2065) 		 
On a programmed construction in a positional differential game

V. D. Batukhtin, A. G. Chentsov
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DOI: https://doi.org/10.1070/IM1975v009n04ABEH001503
Abstract: Given the system
$$ \frac{dx}{dt}=f(t,x,u,v),\qquad x(t_0)=x_0. $$
sufficient conditions are considered for solving the game problem of convergence by a prescribed instant of time under mixed strategies. A programmed construction on the basis of generalized controls-measures is used to solve the problem. Necessary conditions for optimality of the programmed controls are studied.
Bibliography: 9 titles.
Received: 19.04.1974
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1975, Volume 39, Issue 4, Pages 926–936
Bibliographic databases:
UDC: 518.9
MSC: Primary 90D25, 49B10; Secondary 49B40
Language: English
Original paper language: Russian
Citation: V. D. Batukhtin, A. G. Chentsov, “On a programmed construction in a positional differential game”, Izv. Akad. Nauk SSSR Ser. Mat., 39:4 (1975), 926–936; Math. USSR-Izv., 9:4 (1975), 877–886
Citation in format AMSBIB
\Bibitem{BatChe75}
\by V.~D.~Batukhtin, A.~G.~Chentsov
\paper On a~programmed construction in a~positional differential game
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1975
\vol 39
\issue 4
\pages 926--936
\mathnet{http://mi.mathnet.ru/im2065}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=406550}
\zmath{https://zbmath.org/?q=an:0326.90082}
\transl
\jour Math. USSR-Izv.
\yr 1975
\vol 9
\issue 4
\pages 877--886
\crossref{https://doi.org/10.1070/IM1975v009n04ABEH001503}
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:360
    Russian version PDF:96
    English version PDF:5
    References:99
    First page:1
     
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