Evasion Differential Game of Multiple Pursuers and a Single Evader with Geometric Constraints in ℓ 2

Gafurjan Ibragimov, Marks Ruziboev, Ibroximjon Zaynabiddinov and Bruno Antonio Pansera ()
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Gafurjan Ibragimov: Department of General and Exact Subjects, Tashkent State University of Economics, Tashkent 100006, Uzbekistan
Marks Ruziboev: Faculty of Mathematics, University of Vienna, Oskar-Morgnstern Platz 1, 1090 Wien, Austria
Ibroximjon Zaynabiddinov: Faculty of Physics-Mathematics, Andijan State University, Andijon 170100, Uzbekistan
Bruno Antonio Pansera: Department of Law, Economics and Umane Sciences & Decisions_lab, University Mediterranea of Reggio Calabria, 89125 Reggio Calabria, Italy

Games, 2023, vol. 14, issue 4, 1-6

Abstract: We investigate a differential evasion game with multiple pursuers and an evader for the infinite systems of differential equations in ℓ 2 . The control functions of the players are subject to geometric constraints. The pursuers’ goal is to bring the state of at least one of the controlled systems to the origin of ℓ 2 , while the evader’s goal is to prevent this from happening in a finite interval of time. We derive a sufficient condition for evasion from any initial state and construct an evasion strategy for the evader.

Keywords: differential game; control; strategy; infinite system of differential equations; geometric constraint (search for similar items in EconPapers)
JEL-codes: C C7 C70 C71 C72 C73 (search for similar items in EconPapers)
Date: 2023
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