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On a Linear Differential Game in the Hilbert Space ℓ2

Marks RuziboevFaculty of Mathematics, University of Vienna, Oskar-Morgenstern Platz 1, 1090 Vienna, AustriaGafurjan IbragimovV.I.Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, Tashkent 100174, UzbekistanKhudoyor MamayusupovNational University of UzbekistanAdkham KhaitmetovBruno Antonio PanseraDepartment of Law, Economics and Human Sciences, University Mediterranea of Reggio Calabria, 89124 Reggio Calabria, Italy
Mathematicsjournal2023en
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Two player pursuit evasion differential game and time optimal zero control problem in <i>ℓ</i><sup>2</sup> are considered. Optimal control for the corresponding zero control problem is found. A strategy for the pursuer that guarantees the solution for the pursuit problem is constructed.

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