On time extension in differential games with impulse controls
type: Item
instance of: scholarly article
title: On time extension in differential games with impulse controls
zbMATH Open document ID: 1394.49035
author: G. Ts. Chikrij
published in: Cybernetics and Systems Analysis
publication date: 2018-02-13T00:00:00Z
review text: From the text: In the paper, we have obtained sufficient conditions for termination of a linear differential game with impulse controls on the basis of time extension principle without the assumption that the Pontryagin condition holds. We have specified the technique of constructing the control that leads to the objective. In the illustrative example, these conditions become simple constraints on game parameters.
Mathematics Subject Classification ID: 49N70
Mathematics Subject Classification ID: 91A23
Mathematics Subject Classification ID: 49N75
Mathematics Subject Classification ID: 49N25
zbMATH DE Number: 6837541
zbMATH Keywords: time extension function
zbMATH Keywords: differential game
zbMATH Keywords: impulse control
zbMATH Keywords: set-valued mapping
zbMATH Keywords: Minkowski' geometric difference
zbMATH Keywords: Pontryagin's condition
zbMATH Keywords: pursuit and evasion games
MaRDI profile type: Publication
full work available at URL: s10559-017-9972-0
OpenAlex ID: W2758292217
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DOI: 10.1007/S10559-017-9972-0
description: scientific article; zbMATH DE number 6837541