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Differential game for an infinite system of two-block differential equations

We present a pursuit differential game for an infinite system of two-block differential equations in Hilbert space l2. The pursuer and evader control functions are subject to integral constraints. The differential game is said to be completed if the state of the system falls into the origin of l2 at...

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Main Authors: Ibragimov, Gafurjan, Kuchkarova, Sarvinoz, Mat Hasim, Risman, Pansera, Bruno Antonio
Format: Article
Published: MDPI 2022
Online Access:http://psasir.upm.edu.my/id/eprint/100957/
https://www.mdpi.com/2227-7390/10/14/2541
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spelling my.upm.eprints.1009572023-07-14T03:34:29Z http://psasir.upm.edu.my/id/eprint/100957/ Differential game for an infinite system of two-block differential equations Ibragimov, Gafurjan Kuchkarova, Sarvinoz Mat Hasim, Risman Pansera, Bruno Antonio We present a pursuit differential game for an infinite system of two-block differential equations in Hilbert space l2. The pursuer and evader control functions are subject to integral constraints. The differential game is said to be completed if the state of the system falls into the origin of l2 at some finite time. The purpose of the pursuer is to bring the state of the controlled system to the origin of the space l2, whereas the evader’s aim is to prevent this. For the optimal pursuit time, we obtain an equation and construct the optimal strategies for the players. MDPI 2022-07-21 Article PeerReviewed Ibragimov, Gafurjan and Kuchkarova, Sarvinoz and Mat Hasim, Risman and Pansera, Bruno Antonio (2022) Differential game for an infinite system of two-block differential equations. Mathematics, 10 (14). art. no. 2541. pp. 1-11. ISSN 2227-7390 https://www.mdpi.com/2227-7390/10/14/2541 10.3390/math10142541
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/
description We present a pursuit differential game for an infinite system of two-block differential equations in Hilbert space l2. The pursuer and evader control functions are subject to integral constraints. The differential game is said to be completed if the state of the system falls into the origin of l2 at some finite time. The purpose of the pursuer is to bring the state of the controlled system to the origin of the space l2, whereas the evader’s aim is to prevent this. For the optimal pursuit time, we obtain an equation and construct the optimal strategies for the players.
format Article
author Ibragimov, Gafurjan
Kuchkarova, Sarvinoz
Mat Hasim, Risman
Pansera, Bruno Antonio
spellingShingle Ibragimov, Gafurjan
Kuchkarova, Sarvinoz
Mat Hasim, Risman
Pansera, Bruno Antonio
Differential game for an infinite system of two-block differential equations
author_facet Ibragimov, Gafurjan
Kuchkarova, Sarvinoz
Mat Hasim, Risman
Pansera, Bruno Antonio
author_sort Ibragimov, Gafurjan
title Differential game for an infinite system of two-block differential equations
title_short Differential game for an infinite system of two-block differential equations
title_full Differential game for an infinite system of two-block differential equations
title_fullStr Differential game for an infinite system of two-block differential equations
title_full_unstemmed Differential game for an infinite system of two-block differential equations
title_sort differential game for an infinite system of two-block differential equations
publisher MDPI
publishDate 2022
url http://psasir.upm.edu.my/id/eprint/100957/
https://www.mdpi.com/2227-7390/10/14/2541
_version_ 1772813416825618432
score 13.211869

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