Differential Game for an Infinite System of Two-Block Differential Equations

Gafurjan Ibragimov, Sarvinoz Kuchkarova, Risman Mat Hasim and Bruno Antonio Pansera
Additional contact information
Gafurjan Ibragimov: Department of Mathematics, Universiti Putra Malaysia, Serdang 43400, Malaysia
Sarvinoz Kuchkarova: National University of Uzbekistan, University Street, Almazar District, Tashkent 1000174, Uzbekistan
Risman Mat Hasim: Department of Mathematics, Universiti Putra Malaysia, Serdang 43400, Malaysia
Bruno Antonio Pansera: Department of Law and Economics and Human Sciences, University “Mediterranea” of Reggio Calabria, Via dell’Universitá, 25, 89124 Reggio Calabria, Italy

Mathematics, 2022, vol. 10, issue 14, 1-11

Abstract: We present a pursuit differential game for an infinite system of two-block differential equations in Hilbert space l 2 . 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 l 2 at some finite time. The purpose of the pursuer is to bring the state of the controlled system to the origin of the space l 2 , 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.

Keywords: differential game; pursuit; control; strategy; infinite system of differential equations; integral constraint (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/10/14/2541/pdf (application/pdf)
https://www.mdpi.com/2227-7390/10/14/2541/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:10:y:2022:i:14:p:2541-:d:868187

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().