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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Format: | Article |
Language: | English |
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Universiti Putra Malaysia
2021
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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. |
first_indexed | 2024-03-06T11:06:03Z |
format | Article |
id | upm.eprints-97488 |
institution | Universiti Putra Malaysia |
language | English |
last_indexed | 2024-03-06T11:06:03Z |
publishDate | 2021 |
publisher | Universiti Putra Malaysia |
record_format | dspace |
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 |
work_keys_str_mv | AT pkarapanan guaranteedresultforthedifferentialgameoftwopursuersandoneevaderonacylinder AT gafurjanibragimov guaranteedresultforthedifferentialgameoftwopursuersandoneevaderonacylinder AT aliasidhamarif guaranteedresultforthedifferentialgameoftwopursuersandoneevaderonacylinder AT mathasimrisman guaranteedresultforthedifferentialgameoftwopursuersandoneevaderonacylinder |