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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2022
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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 |
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| 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 |
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1772813416825618432 |
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13.250719 |