On a Linear Differential Game in the Hilbert Space ℓ2
Marks RuziboevFaculty of Mathematics, University of Vienna, Oskar-Morgenstern Platz 1, 1090 Vienna, AustriaGafurjan IbragimovDepartment of Applied Mathematics, Tashkent State University of Economics, Tashkent 100006, UzbekistanKhudoyor MamayusupovDepartment of Mathematics, New Uzbekistan University, Mustaqillik ave.54, Tashkent 100007, UzbekistanAdkham KhaitmetovBruno Antonio PanseraDepartment of Law, Economics and Human Sciences, University Mediterranea of Reggio Calabria, 89124 Reggio Calabria, Italy
ABI
Abstract
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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