Guaranteed Pursuit and Evasion Times in a Differential Game for an Infinite System in Hilbert Space l 2

Gafurjan Ibragimov, Xolmurodjon Qushaqov, Akbarjon Muxammadjonov and Bruno Antonio Pansera ()
Additional contact information
Gafurjan Ibragimov: Department of General and Exact Subjects, Tashkent State University of Economics, Tashkent 100006, Uzbekistan
Xolmurodjon Qushaqov: Department of Mathematics, Andijan State University, Andijan 170100, Uzbekistan
Akbarjon Muxammadjonov: Department of Mathematics, Andijan State University, Andijan 170100, Uzbekistan
Bruno Antonio Pansera: Department of Law, Economics and Human Sciences & Decisions_Lab, University Mediterranea of Reggio Calabria, I-89124 Reggio Calabria, Italy

Mathematics, 2023, vol. 11, issue 12, 1-11

Abstract: The present paper is devoted to studying a pursuit differential game described by an infinite system of binary differential equations in Hilbert space l 2 . The control parameters of the players are subject to geometric constraints. The pursuer tries to bring the state of the system to the origin of the Hilbert space l 2 , and oppositely, the evader tries to avoid it. Our aim is to construct a strategy for the pursuer to complete a differential game and an evasion control. We obtain an equation for the guaranteed pursuit and evasion times.

Keywords: differential game; pursuit; control; strategy; infinite system of differential equations; geometric constraint (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/11/12/2662/pdf (application/pdf)
https://www.mdpi.com/2227-7390/11/12/2662/ (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:11:y:2023:i:12:p:2662-:d:1168636

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 ().