Linear evasion differential game of one evader and several pursuers with integral constraints

Gafurjan Ibragimov (), Massimiliano Ferrara (), Marks Ruziboev () and Bruno Antonio Pansera ()
Additional contact information
Gafurjan Ibragimov: Universiti Putra Malaysia
Massimiliano Ferrara: University Mediterranea of Reggio Calabria
Marks Ruziboev: Leiden University
Bruno Antonio Pansera: University Mediterranea of Reggio Calabria

International Journal of Game Theory, 2021, vol. 50, issue 3, No 8, 729-750

Abstract: Abstract An evasion differential game of one evader and many pursuers is studied. The dynamics of state variables $$x_1,\ldots , x_m$$ x 1 , … , x m are described by linear differential equations. The control functions of players are subjected to integral constraints. If $$x_i(t) \ne 0$$ x i ( t ) ≠ 0 for all $$i \in \{1,\ldots ,m\}$$ i ∈ { 1 , … , m } and $$t \ge 0$$ t ≥ 0 , then we say that evasion is possible. It is assumed that the total energy of pursuers doesn’t exceed the energy of evader. We construct an evasion strategy and prove that for any positive integer m evasion is possible.

Keywords: Evasion differential game; Evader; Many Pursuers; Integral constraint; Evasion; Strategy (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (7)

Downloads: (external link)
http://link.springer.com/10.1007/s00182-021-00760-6 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:jogath:v:50:y:2021:i:3:d:10.1007_s00182-021-00760-6

Ordering information: This journal article can be ordered from
http://www.springer. ... eory/journal/182/PS2

DOI: 10.1007/s00182-021-00760-6

Access Statistics for this article

International Journal of Game Theory is currently edited by Shmuel Zamir, Vijay Krishna and Bernhard von Stengel

More articles in International Journal of Game Theory from Springer, Game Theory Society
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().