Stochastic pursuit-evasion differential games in 3D
type: Item
instance of: scholarly article
title: Stochastic pursuit-evasion differential games in 3D
zbMATH Open document ID: 0619.90107
DOI: 10.1007/BF00939548
author: R. de Villiers
author: Y. Yavin
published in: Journal of Optimization Theory and Applications
publication date: 1988-01-01T00:00:00Z
review text: A stochastic version of Isaac's homicidal chauffeur game in the (x,y,z)- space is considered. This is used to solve a pursuit-evasion problem in the (x,y,z)-space in which the pursuer has incomplete information on the evader motion. Optimal feedback strategies for the game, and optimal feedback guidance laws for the pursuer, which uses only the measurements available to the pursuer, are computed. A simple suboptimal guidance law for the pursuer is suggested.
Mathematics Subject Classification ID: 91A24
Mathematics Subject Classification ID: 91A23
Mathematics Subject Classification ID: 91A60
Mathematics Subject Classification ID: 91A15
zbMATH DE Number: 4006035
zbMATH Keywords: homicidal chaffeur game
zbMATH Keywords: pursuit-evasion
zbMATH Keywords: incomplete information
zbMATH Keywords: optimal feedback strategies
zbMATH Keywords: suboptimal guidance law
zbMATH Keywords: stochastic differential games
MaRDI profile type: Publication
cites work: A note on Three-dimensional pursuit-evasion game with bounded curvature
cites work: Interception in three dimensions - An energy formulation
cites work: Stochastic pursuit-evasion differential games in the plane
cites work: On tracking a random motion of a maneuvering point with a rotating camera: a stochastic differential game
cites work: Q3862204
cites work: Stochastic two-target pursuit-evasion differential games in the plane
cites work: Feedback strategies for partially observable stochastic systems
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description: scientific article; zbMATH DE number 4006035