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Characterization of barriers of differential games

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Publication:1264994
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DOI10.1023/A:1022631318424zbMath0907.90296OpenAlexW149761250MaRDI QIDQ1264994

Alain Rapaport

Publication date: 11 February 1999

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1022631318424

zbMATH Keywords

differential gamesviscosity solutionsbarriersIsaacs equation


Mathematics Subject Classification ID

Differential games (aspects of game theory) (91A23) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Positional games (pursuit and evasion, etc.) (91A24)


Related Items

A differential game control problem with state constraints, CHARACTERIZATION AND APPROXIMATION OF VALUE FUNCTIONS OF DIFFERENTIAL GAMES WITH MAXIMUM COST IN INFINITE HORIZON, Envelopes and nonconvex Hamilton-Jacobi equations, Minimax -- or feared value -- \(L ^{1}\)/\(L ^{\infty}\) control



Cites Work

  • The Bellman equation for minimizing the maximum cost
  • Differential games with maximum cost
  • The Existence of Value and Saddle Point in Games of Fixed Duration
  • Optimization and nonsmooth analysis
  • Some algorithms for differential games with two players and one target
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