Minimax differential game with delay
A. V. Kima, G. A. Bocharovb
a N. N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences
b Marchuk Institute of Numerical Mathematics of the Russian Academy of Sciences
The paper considers a minimax positional differential game with aftereffect based on the $i$-smooth analysis methodology. In the finite-dimensional (ODE) case for a minimax differential game, resolving mixed strategies can be constructed using the dynamic programming method. The report shows that the $i$-smooth analysis methodology allows one to construct counterstrategies in a completely similar way to the finite-dimensional case. Moreover as it is typical for the use of $i$-smooth analysis, in the absence of an aftereffect, all the results of the article pass to the corresponding results of the finite-dimensional theory of positional differential games.
differential games, systems with delays.
|Russian Foundation for Basic Research
|The work is partially supported by the Russian Foundation for Basic Research (project no. 20-01-00352_à).
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A. V. Kim, G. A. Bocharov, “Minimax differential game with delay”, Russian Universities Reports. Mathematics, 25:132 (2020), 359–369
Citation in format AMSBIB
\by A.~V.~Kim, G.~A.~Bocharov
\paper Minimax differential game with delay
\jour Russian Universities Reports. Mathematics
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