On a Linear Differential Game in the Hilbert Space ℓ 2

Marks Ruziboev, Gafurjan Ibragimov, Khudoyor Mamayusupov, Adkham Khaitmetov and Bruno Antonio Pansera ()
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Marks Ruziboev: School of Engineering, Central Asian University, Milliy Bog St 264, Tashkent 111221, Uzbekistan
Gafurjan Ibragimov: V.I.Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, Tashkent 100174, Uzbekistan
Khudoyor Mamayusupov: Department of Mathematics, New Uzbekistan University, Mustaqillik ave.54, Tashkent 100007, Uzbekistan
Adkham Khaitmetov: Department of Mathematics and Information Technologies, Fiscal Institute under the Tax Committee, Tashkent 100173, Uzbekistan
Bruno Antonio Pansera: Department of Law, Economics and Human Sciences, University Mediterranea of Reggio Calabria, 89124 Reggio Calabria, Italy

Mathematics, 2023, vol. 11, issue 24, 1-9

Abstract: Two player pursuit evasion differential game and time optimal zero control problem in ℓ² 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.

Keywords: infinite system; control function; pursuer; evader; strategy (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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