Differential game of optimal approach of two inertial pursuers to a noninertial evader
type: Item
instance of: scholarly article
title: Differential game of optimal approach of two inertial pursuers to a noninertial evader
zbMATH Open document ID: 0676.90108
DOI: 10.1007/BF00939563
author: A. G. Pashkov
author: A. Yu. Levchenkov
published in: Journal of Optimization Theory and Applications
publication date: 1990-01-01T00:00:00Z
review text: The game of the optimal approach of two identical inertial pursuers to a noninertial evader is investigated. The duration of the game is fixed. The payoff functional is the distance between the evader and the closest pursuer when the game terminates. The value function is constructed for all possible positions of the game. The regions where the pursuit is one- to-one and the regions where it is essentially collective are described algorithmically. Some analogies between this game and the linear differential game with elliptical vectograms are indicated. It is noted that the focal surface and the dispersal surface are in the proximity of one another.
Mathematics Subject Classification ID: 91A24
Mathematics Subject Classification ID: 91A23
Mathematics Subject Classification ID: 91A99
zbMATH DE Number: 4108549
zbMATH Keywords: programmed maximin function
zbMATH Keywords: one evader
zbMATH Keywords: optimal approach
zbMATH Keywords: two identical inertial pursuers
zbMATH Keywords: value function
zbMATH Keywords: focal surface
zbMATH Keywords: dispersal surface
MaRDI profile type: Publication
cites work: Q3331000
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description: scientific article; zbMATH DE number 4108549