The differential game “Cossacks–robbers” on time scales

DOI10.35634/2226-3594-2023-62-05OpenAlexW4389146581MaRDI QIDQ6119968

Elena Sergeevna Mozhegova, N. N. Petrov

Publication date: 20 February 2024

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

Full work available at URL: http://mathnet.ru/eng/iimi453

zbMATH Keywords

differential gametime scaleevadergroup pursuitpursuerevasion problem

Mathematics Subject Classification ID

Differential games and control (49N70) Applications of optimal control and differential games (49N90) Pursuit and evasion games (49N75) Positional games (pursuit and evasion, etc.) (91A24)

Cites Work

• Pursuit games. An introduction to the theory and applications of differential games of pursuit and evasion
• A linear evasion problem for interacting groups of objects
• Existence of the value of a many-person game of pursuit
• Integration on time scales.
• Simple motion evasion differential game of many pursuers and evaders with integral constraints
• Multiple capture of a given number of evaders in the problem of simple pursuit with phase restrictions on timescales
• Multiplayer pursuit-evasion games in three-dimensional flow fields
• Multiple capture of given number of evaders in linear recurrent differential games
• Expression of the Lebesgue \(\Delta\)-integral on time scales as a usual Lebesgue integral; application to the calculus of \(\Delta\)-antiderivatives
• On the Interrelation of Two Linear NonStationary Problems with Multiple Evaders
• The problem of simple group pursuit with phase constraints in time scales
• Synchronous implementation of simultaneous multiple captures of evaders
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