Geometric properties of successful solvability sets in pursuit game problems

This paper is devoted to the study of the properties of solutions to pursuit-evasion game problems. We study such properties as the connectedness and continuous time dependence of the sections of the successful solvability set. We obtain a sufficient condition for the connectedness and continuous ti...

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Bibliographic Details
Published in:Proceedings of the Steklov Institute of Mathematics 2008-09, Vol.262 (1), p.2-9
Main Author: Averbukh, Yu. V.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
Online Access:Get full text
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Summary:This paper is devoted to the study of the properties of solutions to pursuit-evasion game problems. We study such properties as the connectedness and continuous time dependence of the sections of the successful solvability set. We obtain a sufficient condition for the connectedness and continuous time dependence of sections.
ISSN:0081-5438
1531-8605
DOI:10.1134/S0081543808030024