Evasion Differential Game of Multiple Pursuers and One Evader for an Infinite System of Binary Differential Equations

Gafurjan Ibragimov, Ruzakhon Kazimirova and Bruno Antonio Pansera ()
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Gafurjan Ibragimov: Department of Digital Economics and Agrotechnologies, University of Digital Economics and Agrotechnologies, Tashkent 100022, Uzbekistan
Ruzakhon Kazimirova: Department of Mathematics, Universiti Putra Malaysia, Serdang 43400, Malaysia
Bruno Antonio Pansera: Department of Law, Economics and Human Sciences and Decisions Lab, University Mediterranea of Reggio Calabria, Via dell’Universitá 25, I-89124 Reggio Calabria, Italy

Mathematics, 2022, vol. 10, issue 23, 1-8

Abstract: We study a differential evasion game of multiple pursuers and an evader governed by several infinite systems of two-block differential equations in the Hilbert space l 2 . Geometric constraints are imposed on the players’ control functions. If the state of a controlled system falls into the origin of the space l 2 at some finite time, then pursuit is said to be completed in a differential game. The aim of the pursuers is to transfer the state of at least one of the systems into the origin of the space l 2 , while the purpose of the evader is to prevent it. A sufficient evasion condition is obtained from any of the players’ initial states and an evasion strategy is constructed for the evader.

Keywords: infinite system of differential equations; differential game; strategy; control; geometric constraint (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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