Differential game of optimal pursuit for an infinite system of differential equations

DOI10.1007/s40840-017-0581-xzbMath1419.91118OpenAlexW2771638504MaRDI QIDQ1712791

Usman Waziri, Idham Arif Alias, Abbas Badakaya Ja'afaru, Gafurjan I. Ibragimov

Publication date: 31 January 2019

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: http://psasir.upm.edu.my/id/eprint/79386/1/Differential%20game%20of%20optimal%20.pdf

zbMATH Keywords

optimal strategyHilbert spacedifferential gameintegral constraintevaderpursuerinfinite system

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 (6)

On pursuit-evasion differential game problem in a Hilbert space ⋮ On Stackelberg equilibrium in the sense of program strategies in Volterra functional operator games ⋮ Unnamed Item ⋮ Game value for a pursuit-evasion differential game problem in a Hilbert space ⋮ Differential games in a Banach space on a fixed chain ⋮ Unnamed Item

Cites Work

• On a fixed duration pursuit differential game with geometric and integral constraints
• Problems of group pursuit with integral constraints on controls of the players. I
• Multi pursuer differential game of optimal approach with integral constraints on controls of players
• On pursuit problems in controlled distributed systems
• Game problems on a fixed interval in controlled first-order evolution equations
• A pursuit problem in an infinite system of second-order differential equations
• Bounded controls in distributed-parameter systems
• Some problems in the theory of differential pursuit games in systems with distributed parameters
• Evasion differential game of infinitely many evaders from infinitely many pursuers in Hilbert space
• The optimal pursuit problem reduced to an infinite system of differential equations
• On some game problems for first-order controlled evolution equations
• On game problems for second-order evolution equations
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