On a problem of evading many pursuers

DOI10.1016/0021-8928(79)90097-2zbMath0434.90117OpenAlexW1631655097MaRDI QIDQ1140040

V. L. Zak

Publication date: 1979

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(79)90097-2

zbMATH Keywords

pursuit and evasionseveral pursuersestimation of the minimal distancepiecewise program control

Mathematics Subject Classification ID

Positional games (pursuit and evasion, etc.) (91A24)

Related Items (10)

Simple motion evasion differential game of many pursuers and evaders with integral constraints ⋮ Evasion from many pursuers in the simple motion case ⋮ Evasion from several pursuers in the game with coordinate-wise integral constraints ⋮ Simple motion pursuit and evasion differential games with many pursuers on manifolds with Euclidean metric ⋮ Linear evasion differential game of one evader and several pursuers with integral constraints ⋮ A stochastic two-target pursuit-evasion differential game with three players moving in a plane ⋮ Optimal evading strategies and task allocation in multi-player pursuit-evasion problems ⋮ On differential games of evasion from many pursuers ⋮ Avoidance of many pursuers in the simple motion case ⋮ Evasion along each trajectory in differential games with many pursuers

Cites Work

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• Matrix resolving functions in game problems of dynamics
• On the necessity of a sufficient optimality condition for pursuit time
• The problem of avoiding encounter in \(n\)-person differential games
• A problem of evasion from many pursuers

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