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Tambov University Reports. Series: Natural and Technical Sciences, 2018, Volume 23, Issue 124, Pages 877–890
DOI: https://doi.org/10.20310/1810-0198-2018-23-124-877-890 (Mi vtamu30) 		 
The value function of a differential game with simple motions and an integro-terminal cost

L. G. Shagalova

Institute of Mathematics and Mechanics named after N.N. Krasovskii
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DOI: https://doi.org/10.20310/1810-0198-2018-23-124-877-890
Abstract: An antagonistic positional differential game of two persons is considered. The dynamics of the system is described by a differential equation with simple motions, and the payoff functional is integro-terminal. For the case when the terminal function and the Hamiltonian are piecewise linear, and the dimension of the state space is two, a finite algorithm for the exact construction of the value function is proposed.
Keywords: differential game, simple motions, value function, Hamilton-Jacobi equation, algorithm.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00074
Ural Branch of the Russian Academy of Sciences 18-1-10
The work is partially supported by the Russian Fund for Basic Research (project № 17-01-00074) and by the Ural Branch of the Russian Academy of Sciences (comprehensive program № 18-1-10).
Received: 17.04.2018
Bibliographic databases:
Document Type: Article
UDC: 517.977.8
Language: Russian
Citation: L. G. Shagalova, “The value function of a differential game with simple motions and an integro-terminal cost”, Tambov University Reports. Series: Natural and Technical Sciences, 23:124 (2018), 877–890
Citation in format AMSBIB
\Bibitem{Sha18}
\by L.~G.~Shagalova
\paper The value function of a differential game with simple motions and an integro-terminal cost
\jour Tambov University Reports. Series: Natural and Technical Sciences
\yr 2018
\vol 23
\issue 124
\pages 877--890
\mathnet{http://mi.mathnet.ru/vtamu30}
\crossref{https://doi.org/10.20310/1810-0198-2018-23-124-877-890}
\elib{https://elibrary.ru/item.asp?id=36239281}
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