Proportional navigation and the game of two cars

DOI10.1007/BF00939811zbMath0654.90110MaRDI QIDQ1108952

R. de Villiers, Yaakov Yavin

Publication date: 1989

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

zbMATH Keywords

stochastic differential gamesstochastic versiongeneralized torusIsaacs's game of two carsnonlinear parabolic boundary-value problemoptimal feedback pursuit strategyproportional navigation guidance law

Mathematics Subject Classification ID

Game theory (91A99) Differential games (aspects of game theory) (91A23) Stochastic games, stochastic differential games (91A15) Positional games (pursuit and evasion, etc.) (91A24) Probabilistic games; gambling (91A60)

Related Items (15)

An optimal control problem for a system with small noise ⋮ Application of stochastic optimal control to the design of an electromagnetic actuator ⋮ A comprehensive differential game theoretic solution to a game of two cars ⋮ Application of stochastic differential games to medium-range air-to-air missiles ⋮ Open-loop evasion strategies in a pursuit-evasion problem in a reduced state space ⋮ A search for a randomly moving object: A numerical study ⋮ Optimal launch conditions: An optimal stochastic control problem ⋮ Evaluation of the effectiveness of open-loop evasion strategies in a pursuit-evasion problem ⋮ On the suicidal pedestrian differential game ⋮ Proportional navigation and the game of two cars: The case of a pursuer with variable speed ⋮ Numerical Solution of the Game of Two Cars with a Neurosimulator and Grid Computing ⋮ A two-phase evasive strategy for a pursuit-evasion problem involving two non-holonomic agents with incomplete information ⋮ Applications of stochastic differential games to the suboptimal design of pulse motors ⋮ Optimal two-layer selection policy for a flexible manufaturing system ⋮ Application of stochastic control to the suboptimal design of thrust-mass profiles

Cites Work

• Unnamed Item
• On the game of two cars
• Optimal strategies in pursuit games with limited maneuverability
• Pursuit-evasion in medium-range air-combat scenarios
• Two-target pursuit-evasion differential games in the plane
• The game of two identical cars
• The game of two elliptical ships
• Game of two cars with containment probability as cost function
• The geometry of the barrier in the ‘game of two cars’
• Capturability in a two-target 'game of two cars'
• A note on Three-dimensional pursuit-evasion game with bounded curvature

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