Problems of group pursuit with integral constraints on controls of the players. I

DOI10.1007/s10559-013-9563-7zbMath1298.91045OpenAlexW4251528737MaRDI QIDQ465991

J. Herrera, D. Rodríguez-Gómez

Publication date: 24 October 2014

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10559-013-9563-7

zbMATH Keywords

strategyintegral constraintresolving functionguaranteed time of pursuitproblem of group pursuit

Mathematics Subject Classification ID

Differential games (aspects of game theory) (91A23) Pursuit and evasion games (49N75) Positional games (pursuit and evasion, etc.) (91A24)

Related Items (16)

Pursuit-evasion differential games with Gr-constraints on controls ⋮ On pursuit-evasion differential game problem in a Hilbert space ⋮ Differential game: ``Life line for non-stationary geometric constraints on controls ⋮ DIFFERENTIAL GAME WITH A LIFELINE FOR THE INERTIAL MOVEMENTS OF PLAYERS ⋮ Pursuit differential game of many pursuers with integral constraints on compact convex set ⋮ Sufficient solvability conditions for the problem of pursuit under an impulse action ⋮ A modified method of resolving functions for game control problems with integral constraints ⋮ Evasion from several pursuers in the game with coordinate-wise integral constraints ⋮ Differential game with “lifeline” for Pontryagin's control example ⋮ Evasion differential game of infinitely many evaders from infinitely many pursuers in Hilbert space ⋮ Resolving-functions method for game problems of control with integral constraints ⋮ Differential game of optimal pursuit for an infinite system of differential equations ⋮ An approach for solving discrete game problems with total constraints on controls ⋮ Differential games with the Langenhop type constrains on controls ⋮ PURSUIT-EVASION DIFFERENTIAL GAMES WITH THE GRÖNWALL TYPE CONSTRAINTS ON CONTROLS ⋮ Stroboscopic strategy in dynamic game problems with terminal payoff function and integral constraints on controls

Cites Work

• On linear differential games with integral constraints
• Control under indeterminacy and double constraints
• Extremal strategies in differential games with integral constraints
• Conflict controlled processes with discontinuous trajectories
• On a pursuit-evasion problem under a linear change of the pursuer resource
• Generalized Mittag-Leffler matrix functions in game problems for evolutionary equations of fractional order
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