Guaranteed Pursuit Time for an Inﬁnite System in \(l_2\) with Geometric Constraints

Bashir Mai Umar; Jewaidu Rilwan; Mohammed Lawan Danyaro; Alhaji Bukar Muhammad; Salisu Aliyu Bagare

doi:10.58715/bangmodjmcs.2025.11.4

Guaranteed Pursuit Time for an Inﬁnite System in \(l_2\) with Geometric Constraints

Authors

Bashir Mai Umar Department of Mathematics, Federal University, Gashua, Yobe, Nigeria
Jewaidu Rilwan Department of Mathematical Science, Bayero University, Kano, Nigeria
Mohammed Lawan Danyaro Department of General Studies, Yobe State College of Agricultural Science and Technology, Gujba Yobe, Nigeria.
Alhaji Bukar Muhammad Department of General Studies, Yobe State College of Agricultural Science and Technology, Gujba Yobe, Nigeria.
Salisu Aliyu Bagare Department of General Studies, Yobe State College of Agricultural Science and Technology, Gujba Yobe, Nigeria.

DOI:

https://doi.org/10.58715/bangmodjmcs.2025.11.4

Keywords:

Guaranteed pursuit time, geometric constraint , players control functions

Abstract

In this paper, we consider a pursuit differential game problem described by an infinite system of binary differential equations in the Hilbert space \(l_2\). The control parameters of the players are subject to geometric constraints. The pursuer's goal is to complete the game by bringing the state of the system to the origin, while the evader's goal is the contrary. The guaranteed pursuit time required to achieve the pursuer's goal is estimated. To this end, we constructed
an optimal strategy for the pursuer.

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Published

2025-04-06

How to Cite

Mai Umar, B., Rilwan, J., Lawan Danyaro, M., Bukar Muhammad, A., & Aliyu Bagare, S. (2025). Guaranteed Pursuit Time for an Inﬁnite System in \(l_2\) with Geometric Constraints. Bangmod International Journal of Mathematical and Computational Science, 11, 63–74. https://doi.org/10.58715/bangmodjmcs.2025.11.4