Cover Image

Differential game of optimal pursuit for an infinite system of differential equations

We study an optimal pursuit differential game problem in the Hilbert space l2r+1. The game is described by an infinite system of the first-order differential equations whose coefficients are negative. The control functions of players are subjected to integral constraints. If the state of the system...

Full description

Saved in:
Bibliographic Details
Main Authors: Ibragimov, Gafurjan Ismailovich, Alias, Idham Arif, Waziri, Usman, Ja'afaru, Abbas Badakaya
Format: Article
Language:English
Published: Springer 2019
Online Access:http://psasir.upm.edu.my/id/eprint/79386/1/Differential%20game%20of%20optimal%20.pdf
http://psasir.upm.edu.my/id/eprint/79386/
https://link.springer.com/article/10.1007/s40840-017-0581-x
Tags: Add Tag
No Tags, Be the first to tag this record!
id my.upm.eprints.79386
record_format eprints
spelling my.upm.eprints.793862021-03-30T22:45:03Z http://psasir.upm.edu.my/id/eprint/79386/ Differential game of optimal pursuit for an infinite system of differential equations Ibragimov, Gafurjan Ismailovich Alias, Idham Arif Waziri, Usman Ja'afaru, Abbas Badakaya We study an optimal pursuit differential game problem in the Hilbert space l2r+1. The game is described by an infinite system of the first-order differential equations whose coefficients are negative. The control functions of players are subjected to integral constraints. If the state of the system coincides with the origin of the space l2r+1, then game is considered completed. We obtain an equation to find the optimal pursuit time. Moreover, we construct the optimal strategies for players. Springer 2019 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/79386/1/Differential%20game%20of%20optimal%20.pdf Ibragimov, Gafurjan Ismailovich and Alias, Idham Arif and Waziri, Usman and Ja'afaru, Abbas Badakaya (2019) Differential game of optimal pursuit for an infinite system of differential equations. Bulletin of the Malaysian Mathematical Sciences Society, 42 (1). pp. 394-403. ISSN 0126-6705; ESSN: 2180-4206 https://link.springer.com/article/10.1007/s40840-017-0581-x 10.1007/s40840-017-0581-x
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description We study an optimal pursuit differential game problem in the Hilbert space l2r+1. The game is described by an infinite system of the first-order differential equations whose coefficients are negative. The control functions of players are subjected to integral constraints. If the state of the system coincides with the origin of the space l2r+1, then game is considered completed. We obtain an equation to find the optimal pursuit time. Moreover, we construct the optimal strategies for players.
format Article
author Ibragimov, Gafurjan Ismailovich
Alias, Idham Arif
Waziri, Usman
Ja'afaru, Abbas Badakaya
spellingShingle Ibragimov, Gafurjan Ismailovich
Alias, Idham Arif
Waziri, Usman
Ja'afaru, Abbas Badakaya
Differential game of optimal pursuit for an infinite system of differential equations
author_facet Ibragimov, Gafurjan Ismailovich
Alias, Idham Arif
Waziri, Usman
Ja'afaru, Abbas Badakaya
author_sort Ibragimov, Gafurjan Ismailovich
title Differential game of optimal pursuit for an infinite system of differential equations
title_short Differential game of optimal pursuit for an infinite system of differential equations
title_full Differential game of optimal pursuit for an infinite system of differential equations
title_fullStr Differential game of optimal pursuit for an infinite system of differential equations
title_full_unstemmed Differential game of optimal pursuit for an infinite system of differential equations
title_sort differential game of optimal pursuit for an infinite system of differential equations
publisher Springer
publishDate 2019
url http://psasir.upm.edu.my/id/eprint/79386/1/Differential%20game%20of%20optimal%20.pdf
http://psasir.upm.edu.my/id/eprint/79386/
https://link.springer.com/article/10.1007/s40840-017-0581-x
_version_ 1696977666555510784
score 13.211869

Similar Items