Multi-Pursuer and One-Evader Evasion Differential Game with Integral Constraints for an Infinite System of Binary Differential Equations

Ruzakhon Kazimirova, Gafurjan Ibragimov, Bruno Antonio Pansera () and Abdulla Ibragimov
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Ruzakhon Kazimirova: Department of Mathematics and Statistics, Universiti Putra Malaysia, Serdang 43400, Malaysia
Gafurjan Ibragimov: V.I.Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, Tashkent 100174, Uzbekistan
Bruno Antonio Pansera: Department of Law, Economics and Human Sciences & Decisions_Lab, University Mediterranea of Reggio Calabria, I-89124 Reggio Calabria, Italy
Abdulla Ibragimov: The Banking and Finance Academy of the Republic of Uzbekistan, Tashkent 100000, Uzbekistan

Mathematics, 2024, vol. 12, issue 8, 1-10

Abstract: In the Hilbert space l 2 , a differential evasion game involving multiple pursuers is considered. Integral constraints are imposed on player control functions. The pursuers are tasked with bringing the state of a system back to the origin of l 2 , while the evader simultaneously tries to avoid it. It is assumed that the energy of the evader is greater than the total energy of the pursuers. In this paper, we contribute to the solution of the differential evasion game with multiple pursuers by building an exact strategy for the evader.

Keywords: differential game; control; evasion strategy; infinite system of differential equations; integral constraint (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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