On the Lifeline Game of the Inertial Players with Integral and Geometric Constraints-Reference-Cited by-同舟云学术

On the Lifeline Game of the Inertial Players with Integral and Geometric Constraints

Published:2023-10-09 Issue:19 Volume:11 Page:4209
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Samatov Bahrom¹,Ibragimov Gafurjan²³^ORCID,Juraev Bahodirjon⁴,Ferrara Massimiliano⁵⁶^ORCID

Affiliation:

1. Department of Mathematics, Namangan State University, Namangan 116019, Uzbekistan

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

3. Department of General and Exact Subjects, Tashkent State University of Economics, Tashkent 100006, Uzbekistan

4. Faculty of Physics-Mathematics, Andijan State University, Andijon 170100, Uzbekistan

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

6. ICRIOS—The Invernizzi Centre for Research in Innovation, Organization, Strategy and Entrepreneurship, Department of Management and Technology, Bocconi University, 20100 Milano, Italy

Abstract

In this paper, we consider a pursuit–evasion game of inertial players, where the pursuer’s control is subject to integral constraint and the evader’s control is subject to geometric constraint. In the pursuit problem, the main tool is the strategy of parallel pursuit. Sufficient conditions are obtained for the solvability of pursuit–evasion problems. Additionally, the main lemma describing the monotonicity of an attainability domain of the evader is proved, and an explicit analytical formula for this domain is given. One of the main results of the paper is the solution of the Isaacs lifeline game for a special case.

Publisher

MDPI AG

Subject

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

Link

https://www.mdpi.com/2227-7390/11/19/4209/pdf

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