On differential games of evasion from many pursuers
type: Item
instance of: scholarly article
title: On differential games of evasion from many pursuers
zbMATH Open document ID: 0548.90106
DOI: 10.1007/BF00939151
author: V. L. Zak
author: F. L. Chernous'ko
published in: Journal of Optimization Theory and Applications
publication date: 1985-01-01T00:00:00Z
review text: This paper contains a survey of some results regarding differential games of evasion from many pursuers. This class of games presents special difficulties and usually cannot be treated by standard methods. The approach developed consists of constructing piecewise program strategies for the evader, based on certain maneuvers of evasion from one pursuer. These strategies satisfy one additional condition (state constraint); the evader's motion does not leave a given neighborhood of a prescribed nominal motion. An upper estimate for the number of program pieces of the evader's control and a lower estimate for the minimal distance between the evader and the pursuers are also obtained. These results are given for several types of equations of the game.
Mathematics Subject Classification ID: 91A24
Mathematics Subject Classification ID: 91A23
Mathematics Subject Classification ID: 91A99
zbMATH DE Number: 3875014
zbMATH Keywords: state constraints
zbMATH Keywords: incomplete information
zbMATH Keywords: evasion from many pursuers
zbMATH Keywords: piecewise program strategies
zbMATH Keywords: lower estimate for the minimal distance
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3875014