Multiple capture in Pontryagin's recurrent example with phase constraints

DOI10.1134/S0081543816050163zbMath1349.49047MaRDI QIDQ338034

N. N. Petrov, Nadezhda A. Solov'eva

Publication date: 3 November 2016

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

phase constraintsevadergroup pursuitPontryagin's examplepursuer

Mathematics Subject Classification ID

Differential games (aspects of game theory) (91A23) Pursuit and evasion games (49N75)

Related Items (10)

MATRIX RESOLVING FUNCTIONS IN THE LINEAR GROUP PURSUIT PROBLEM WITH FRACTIONAL DERIVATIVES ⋮ Estimate of the capture time and construction of the pursuer's strategy in a nonlinear two-person differential game ⋮ \(\varepsilon\)-capture in nonlinear differential games described by system of order two ⋮ Problem of multiple capture of given number of evaders in recurrent differential games ⋮ Simultaneous multiple capture in the presence of evader's defenders ⋮ Synchronous implementation of simultaneous multiple captures of evaders ⋮ The evasion problem in a nonlinear differential game with discrete control ⋮ Multiple capture in a group pursuit problem with fractional derivatives ⋮ Multiple capture of a given number of evaders in the problem of a simple pursuit ⋮ Multiple capture of given number of evaders in linear recurrent differential games

Cites Work

• On a nonstationary problem of group pursuit
• Group pursuit in recurrent Pontryagin example
• “Soft” capture in pontryagin's example with many participants
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