On a Linear Differential Game in the Hilbert Space ℓ2-Reference-Cited by-同舟云学术

On a Linear Differential Game in the Hilbert Space ℓ2

Published:2023-12-17 Issue:24 Volume:11 Page:4987
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Ruziboev Marks¹²,Ibragimov Gafurjan³⁴^ORCID,Mamayusupov Khudoyor⁵,Khaitmetov Adkham⁶,Pansera Bruno Antonio⁷^ORCID

Affiliation:

1. School of Engineering, Central Asian University, Milliy Bog St 264, Tashkent 111221, Uzbekistan

2. Faculty of Mathematics, University of Vienna, Oskar-Morgenstern Platz 1, 1090 Vienna, Austria

3. V.I.Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, Tashkent 100174, Uzbekistan

4. Department of Applied Mathematics, Tashkent State University of Economics, Tashkent 100006, Uzbekistan

5. Department of Mathematics, New Uzbekistan University, Mustaqillik ave.54, Tashkent 100007, Uzbekistan

6. Department of Mathematics and Information Technologies, Fiscal Institute under the Tax Committee, Tashkent 100173, Uzbekistan

7. Department of Law, Economics and Human Sciences, University Mediterranea of Reggio Calabria, 89124 Reggio Calabria, Italy

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.

Funder

Austrian Science Fund

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/24/4987/pdf

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