Pursuit-evasion differential games with Gr-constraints on controls

DOI10.35634/2226-3594-2022-59-06zbMath1498.49069OpenAlexW4283117862MaRDI QIDQ5040974

Adakhambek Khasanbaevich Akbarov, Bakhodir Inomzhon Zhuraev, Bakhrom Tadzhiakhmatovich Samatov

Publication date: 18 October 2022

Published in: Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/iimi429

zbMATH Keywords

optimal strategydifferential gamepursuitevasioncapture timeGrönwall's inequality

Mathematics Subject Classification ID

Differential games and control (49N70) Pursuit and evasion games (49N75) Positional games (pursuit and evasion, etc.) (91A24)

Cites Work

• On a minimax control problem for a positional functional under geometric and integral constraints on control actions
• The pursuit-evasion problem under integral-geometric constraints on pursuer controls
• Problems of group pursuit with integral constraints on controls of the players. I
• Problems of group pursuit with integral constraints on controls of the players. II
• On a nonstationary problem of group pursuit
• Simple group pursuit subject to phase constraints and data delay
• Control under indeterminacy and double constraints
• The optimal pursuit problem reduced to an infinite system of differential equations
• The \(\Pi\)-strategy in a differential game with linear control constraints
• Optimal control problem of stochastic systems
• Nonlinear optimal control of thermal processes in a nonlinear inverse problem
• Linear evasion differential game of one evader and several pursuers with integral constraints
• On the coincidence of the minimax solution and the value function in a time-optimal game with a lifeline
• Differential variational inequalities
• Estimates of reachable sets for systems with impulsive control, uncertainty and nonlinearity
• On a pursuit-evasion problem under a linear change of the pursuer resource
• Multiple capture of a given number of evaders in the problem of a simple pursuit
• PURSUIT-EVASION DIFFERENTIAL GAMES WITH THE GRÖNWALL TYPE CONSTRAINTS ON CONTROLS
• CONTROL SYSTEM DEPENDING ON A PARAMETER
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