On a minimax control problem for a positional functional under geometric and integral constraints on control actions

DOI10.1134/S0081543816050096zbMath1351.49008OpenAlexW2464660194MaRDI QIDQ338022

D. V. Kornev, N. Yu. Lukoyanov

Publication date: 3 November 2016

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543816050096

zbMATH Keywords

differential gamesintegral constraintsminimax feedback controlnonterminal payoff

Mathematics Subject Classification ID

Related Items (6)

Pursuit-evasion differential games with Gr-constraints on controls ⋮ DIFFERENTIAL GAME WITH A LIFELINE FOR THE INERTIAL MOVEMENTS OF PLAYERS ⋮ Differential game with “lifeline” for Pontryagin's control example ⋮ Differential games on minmax of the positional quality index ⋮ Differential games with the Langenhop type constrains on controls ⋮ PURSUIT-EVASION DIFFERENTIAL GAMES WITH THE GRÖNWALL TYPE CONSTRAINTS ON CONTROLS

Cites Work

• Construction of mixed strategies on the basis of stochastic programs
• Alternative for the encounter-evasion differential game with constraints on the momenta of the players' controls
• The problem of conflicting control with mixed constraints
• A problem of conflict control with hereditary information.
• On the \(P\)-property of convex compact sets.
• On numerical solution of positional differential games with nonterminal payoff
• On the stability of a procedure for solving a minimax control problem for a positional functional
• How to compute the value of a positional differential game
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