Evasion Differential Game of Multiple Pursuers and a Single Evader with Geometric Constraints in ℓ2
Gafurjan IbragimovDepartment of General and Exact Subjects, Tashkent State University of Economics, Tashkent 100006, UzbekistanMarks RuziboevFaculty of Mathematics, University of Vienna, Oskar-Morgnstern Platz 1, 1090 Wien, AustriaIbroximjon ZaynabiddinovFaculty of Physics-Mathematics, Andijan State University, Andijon 170100, UzbekistanBruno Antonio PanseraDepartment of Law, Economics and Umane Sciences & Decisions_lab, University Mediterranea of Reggio Calabria, 89125 Reggio Calabria, Italy
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Abstract
We investigate a differential evasion game with multiple pursuers and an evader for the infinite systems of differential equations in ℓ2. 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 ℓ2, 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.
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