Multiple capture in a differential game with mixed constraints on controls of players

Gafurjan Ibragimov (), Sarvinoz Kuchkarova (), Abdulla Ibragimov () and Bruno Antonio Pansera ()
Additional contact information
Gafurjan Ibragimov: V.I.Romanovskii Institute of Mathematics, Uzbekistan Academy of Sciences
Sarvinoz Kuchkarova: National University of Uzbekistan
Abdulla Ibragimov: The Banking and Finance Academy of the Republic of Uzbekistan
Bruno Antonio Pansera: University Mediterranea of Reggio Calabria

Quality & Quantity: International Journal of Methodology, 2025, vol. 59, issue 5, No 39, 4872 pages

Abstract: Abstract We study a simple motion multiple capture pursuit differential game of m pursuers $$x_1, x_{2},..., x_{m}$$ x 1 , x 2 , . . . , x m and one evader y. On the first k coordinates of the control function of each player a geometric constraint is imposed, and the other coordinates are subjected to an integral constraint. If $$x_{i_1}(\tau _1)=y(\tau _1),..., x_{i_d} (\tau _d)=y(\tau _d)$$ x i 1 ( τ 1 ) = y ( τ 1 ) , . . . , x i d ( τ d ) = y ( τ d ) for some pairwise distinct numbers $$i_1, i_{2},..., i_d \in \left\{ 1, 2,..., m\right\}$$ i 1 , i 2 , . . . , i d ∈ 1 , 2 , . . . , m and times $$0

Keywords: Differential game; Pursuer; Evader; Strategy; d-multiple capture; Primary: 05C57; Secondary: 91A43 (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s11135-025-02198-4 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

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:spr:qualqt:v:59:y:2025:i:5:d:10.1007_s11135-025-02198-4

Ordering information: This journal article can be ordered from
http://www.springer.com/economics/journal/11135

DOI: 10.1007/s11135-025-02198-4

Access Statistics for this article

Quality & Quantity: International Journal of Methodology is currently edited by Vittorio Capecchi

More articles in Quality & Quantity: International Journal of Methodology from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().