A two-target game analysis in line-of-sight coordinates
type: Item
instance of: scholarly article
title: A two-target game analysis in line-of-sight coordinates
zbMATH Open document ID: 0617.90108
DOI: 10.1016/0898-1221(87)90098-8
author: A. Davidovitz
author: Josef Shinar
publication date: 1987-01-01T00:00:00Z
review text: The engagement between two aggressively operating similar aircraft armed with boresight limited ''all-aspect'' missiles is modelled as a two target differential game between ''two indentical cars''. By using a line-of-sight coordinate system the symmetry of the problem can be exploited leading to a reduced complexity in the game of kind analysis. The barrier trajectories are obtained in a closed form alllowing us to generate closed barrier surfaces with a reasonable computational effort. These barrier surfaces enclose the ''winning zone'' of each player and the ''region of mutual kill''. The analysis reveals several new features not encountered in previous studies.
Mathematics Subject Classification ID: 91A24
Mathematics Subject Classification ID: 91A23
Mathematics Subject Classification ID: 91A99
zbMATH DE Number: 4001915
zbMATH Keywords: two target differential game
zbMATH Keywords: two indentical cars
zbMATH Keywords: barrier trajectories
MaRDI profile type: Publication
full work available at URL: 0898-1221(87)90098-8
OpenAlex ID: W2050784677
cites work: Q5532185
cites work: Role determination in an aerial dogfight
cites work: Q5636717
cites work: Qualitative differential games with two targets
cites work: The geometry of the barrier in the ‘game of two cars’
cites work: Two-target pursuit-evasion differential games in the plane
cites work: Capturability in a two-target 'game of two cars'
cites work: The game of two identical cars
cites work: Q3030614
cites work: To pursue or to evade - That is the question
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 4001915