Simple linear pursuit-evasion games
type: Item
instance of: scholarly article
title: Simple linear pursuit-evasion games
zbMATH Open document ID: 0632.90105
DOI: 10.1016/0898-1221(87)90095-2
author: Shaul Gutman
author: M. Esh
author: M. Gefen
publication date: 1987-01-01T00:00:00Z
review text: A pursuit-evasion closed-loop qualitative game for a system \(\dot x=Ax+Bu+Cv\), \(u\in U\), \(v\in V\) (U and V are compacta) where \(\min_ u\max_ v\ell F(s)(Bu+Cv)\) (F(s) is the fundamental matrix) does not depend on \(\ell\), \(\| \ell \| =1\), and terminal set \(\{\) \(x: \| Dx\| \leq a\}\) is reduced to a family of games with terminal payoffs \(J=\| Dx(T)\|\). As an example, a solution of the isotropic rocket game is given.
Mathematics Subject Classification ID: 91A24
Mathematics Subject Classification ID: 91A23
Mathematics Subject Classification ID: 91A99
zbMATH DE Number: 4029318
zbMATH Keywords: pursuit-evasion closed-loop qualitative game
zbMATH Keywords: terminal payoffs
zbMATH Keywords: isotropic rocket game
reviewed by: A. V. Kryazhimskij
MaRDI profile type: Publication
full work available at URL: 0898-1221(87)90095-2
OpenAlex ID: W2045582990
cites work: Q5532185
cites work: A class of linear evasion problems
cites work: Remarks on capture-avoidance games
cites work: On Optimal Guidance for Homing Missiles
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 4029318