GUARANTEED PURSUIT TIME OF A LINEAR DIFFERENTIAL GAME WITH GENERALIZED GEOMETRIC CONSTRAINTS ON PLAYERS CONTROL FUNCTIONS

Ahmad Yahaya Haruna; Abbas Ja'afaru Badakaya; Jewaidu Rilwan

doi:10.58715/bangmodjmcs.2023.9.5

GUARANTEED PURSUIT TIME OF A LINEAR DIFFERENTIAL GAME WITH GENERALIZED GEOMETRIC CONSTRAINTS ON PLAYERS CONTROL FUNCTIONS

Authors

Ahmad Yahaya Haruna Department of Mathematics, Bayero University Kano, Kano, Nigeria
Abbas Ja'afaru Badakaya Department of Mathematics, Bayero University Kano, Kano, Nigeria
Jewaidu Rilwan Department of Mathematics, Bayero University Kano, Kano, Nigeria

DOI:

https://doi.org/10.58715/bangmodjmcs.2023.9.5

Keywords:

Gr¨onwall, Pursuit, Control functions, Guaranteed pursuit time

Abstract

In this study, simple motion differential game of one pursuer and one
evader is considered in Rn. Control functions of the players are subject to
more generalized geometric constraints. Pursuit is said to be completed
at a finite time Γ whenever the distance between both players at time Γ
is zero.We obtain an estimate for the guaranteed pursuit time Γ and construct
pursuer’s strategy that ensure completion of pursuit at the time Γ.

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Published

2023-12-31

How to Cite

Yahaya Haruna, A., Ja’afaru Badakaya, A., & Rilwan, J. (2023). GUARANTEED PURSUIT TIME OF A LINEAR DIFFERENTIAL GAME WITH GENERALIZED GEOMETRIC CONSTRAINTS ON PLAYERS CONTROL FUNCTIONS. Bangmod International Journal of Mathematical and Computational Science, 9, 63–71. https://doi.org/10.58715/bangmodjmcs.2023.9.5