Aircraft pursuit-evasion problems with variable speeds
type: Item
instance of: scholarly article
title: Aircraft pursuit-evasion problems with variable speeds
zbMATH Open document ID: 0625.90108
DOI: 10.1016/0898-1221(87)90097-6
author: Jianyong Qiao
author: Sumit K. Garg
publication date: 1987-01-01T00:00:00Z
review text: Aircraft pursuit-evasion encounters in a plane with variable speeds are analysed as a differential game. The paper starts with an overview of different approaches to air combat studies and then concentrates on the variable speed pursuit-evasion in the plane, as initiated amongst others by the current authors. The paper presents some of the highlights of this research; it is an overview. For many of the details the original papers should be consulted. After the introduction section two introduces the so-called extremal trajectory map (ETM), which provides a solution in the small. The state equations of both pursuer and evader are four dimensional (in a fixed coordinate system), the components being the two state coordinates, the Mach number and the heading. The controls are the throttle setting and the bank angle. The so-called canonical equations are decoupled (in terms of pursuer and evader) which implies that the ETM is essentially independent of role, adversary and capture radius and has an open-loop character. Section three discusses the construction of the ETM for realistic aircraft such as the model F-4C. Examples, figures and discussions are taken from previous papers by the same authors. Section four is mainly adresses to the feedback solution and the construction of game surfaces. Section five gives some examples of barriers and dispersal points.
Mathematics Subject Classification ID: 91A24
Mathematics Subject Classification ID: 91A99
Mathematics Subject Classification ID: 91A23
Mathematics Subject Classification ID: 90-02
zbMATH DE Number: 4016646
zbMATH Keywords: Aircraft pursuit-evasion encounters
zbMATH Keywords: plane
zbMATH Keywords: variable speeds
zbMATH Keywords: overview
zbMATH Keywords: extremal trajectory map
zbMATH Keywords: feedback solution
zbMATH Keywords: barriers
zbMATH Keywords: dispersal points
reviewed by: Geert Jan Olsder
MaRDI profile type: Publication
full work available at URL: 0898-1221(87)90097-6
OpenAlex ID: W2010460467
cites work: Q5532185
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cites work: Barriers and dispersal surfaces in minimum-time interception
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 4016646