Guaranteed result for the differential game of two pursuers and one evader on a cylinder

We study a pursuit differential game of two pursuers and one evader on a cylinder. We reduce the differential game to a differential game of two groups of countably many pursuers and one group of countably many evaders in R 2 where all the players from each group are controlled by one control parame...

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Main Authors: P., Karapanan, Gafurjan, Ibragimov, Alias, Idham Arif, Mat Hasim, Risman
Format: Article
Language:English
Published: Universiti Putra Malaysia 2021
Online Access:http://psasir.upm.edu.my/id/eprint/97488/1/ARTICLE%205%20%28Finalise%29%20v1_Karapanan%2C%20P.%2C%20Ibragimov%2C%20G.%2C%20Alias%2C%20I.%20A.%20and%20Hasim%20R..pdf
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author P., Karapanan
Gafurjan, Ibragimov
Alias, Idham Arif
Mat Hasim, Risman
author_facet P., Karapanan
Gafurjan, Ibragimov
Alias, Idham Arif
Mat Hasim, Risman
author_sort P., Karapanan
collection UPM
description We study a pursuit differential game of two pursuers and one evader on a cylinder. We reduce the differential game to a differential game of two groups of countably many pursuers and one group of countably many evaders in R 2 where all the players from each group are controlled by one control parameter subjected to geometric constraint. We obtain an estimate from above for the value of the game and construct strategies for the pursuers.
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spelling upm.eprints-974882022-07-27T07:03:42Z http://psasir.upm.edu.my/id/eprint/97488/ Guaranteed result for the differential game of two pursuers and one evader on a cylinder P., Karapanan Gafurjan, Ibragimov Alias, Idham Arif Mat Hasim, Risman We study a pursuit differential game of two pursuers and one evader on a cylinder. We reduce the differential game to a differential game of two groups of countably many pursuers and one group of countably many evaders in R 2 where all the players from each group are controlled by one control parameter subjected to geometric constraint. We obtain an estimate from above for the value of the game and construct strategies for the pursuers. Universiti Putra Malaysia 2021 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/97488/1/ARTICLE%205%20%28Finalise%29%20v1_Karapanan%2C%20P.%2C%20Ibragimov%2C%20G.%2C%20Alias%2C%20I.%20A.%20and%20Hasim%20R..pdf P., Karapanan and Gafurjan, Ibragimov and Alias, Idham Arif and Mat Hasim, Risman (2021) Guaranteed result for the differential game of two pursuers and one evader on a cylinder. Malaysian Journal of Mathematical Sciences, 15 (1). 61 - 77. ISSN 1823-8343 https://einspem.upm.edu.my/journal/fullpaper/vol15issue1/ARTICLE%205%20(Finalise)%20v1_Karapanan,%20P.,%20Ibragimov,%20G.,%20Alias,%20I.%20A.%20and%20Hasim%20R..pdf
spellingShingle P., Karapanan
Gafurjan, Ibragimov
Alias, Idham Arif
Mat Hasim, Risman
Guaranteed result for the differential game of two pursuers and one evader on a cylinder
title Guaranteed result for the differential game of two pursuers and one evader on a cylinder
title_full Guaranteed result for the differential game of two pursuers and one evader on a cylinder
title_fullStr Guaranteed result for the differential game of two pursuers and one evader on a cylinder
title_full_unstemmed Guaranteed result for the differential game of two pursuers and one evader on a cylinder
title_short Guaranteed result for the differential game of two pursuers and one evader on a cylinder
title_sort guaranteed result for the differential game of two pursuers and one evader on a cylinder
url http://psasir.upm.edu.my/id/eprint/97488/1/ARTICLE%205%20%28Finalise%29%20v1_Karapanan%2C%20P.%2C%20Ibragimov%2C%20G.%2C%20Alias%2C%20I.%20A.%20and%20Hasim%20R..pdf
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