Comparison of the solutions of linear and nonlinear positional differential games of encounter
type: Item
instance of: scholarly article
title: Comparison of the solutions of linear and nonlinear positional differential games of encounter
zbMATH Open document ID: 0627.90104
DOI: 10.1016/0021-8928(86)90003-1
author: A. G. Pashkov
published in: Journal of Applied Mathematics and Mechanics
publication date: 1986-01-01T00:00:00Z
review text: A positional differential game of encounter of a nonlinear, conflict- controlled system with a given target set is considered. Sufficient conditions for a successful encounter of the initial system with the target set are given. The differentials game problems of encounter between two objects with restricted manoeuvrability is solved. The equations of motion of the objects and the constraints imposed on the controls are given using the same relations as those in the differential game known as the ``game of two-cars''. It is assumed that both objects have restricted manoeuvrability and the game takes place over a fixed time interval. A positional strategy is constructed for the pursuer guaranteeing that it arrives at a previously specified distance from the pursued at the instant of game termination.
Mathematics Subject Classification ID: 91A23
Mathematics Subject Classification ID: 91A24
zbMATH DE Number: 4020883
zbMATH Keywords: positional differential game of encounter
zbMATH Keywords: target set
zbMATH Keywords: conditions for a successful encounter
zbMATH Keywords: positional strategy
MaRDI profile type: Publication
full work available at URL: 0021-8928(86)90003-1
OpenAlex ID: W2008838120
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description: scientific article; zbMATH DE number 4020883