Malaysian Journal of Mathematical Sciences, January 2021, Vol. 15, No. 1
Guaranteed Result for the Differential Game of Two Pursuers and One Evader on a Cylinder
Karapanan, P., Ibragimov, G., Alias, I. A., and Hasim R. M.
Corresponding Email: ibragim1ov@gmail.com
Received date: 24 May 2019
Accepted date: 25 October 2020
Abstract:
We study a pursuit differential game of two pursuers and one evader on a cylinder. We reduce the differential game to a differential game of two
groups of countably many pursuers and one group of countably many evaders in \(\mathbb{R}^2\) where all the players from each group are controlled by one control parameter subjected to geometric constraint. We obtain an estimate from above for the value of the game and construct strategies
for the pursuers.
Keywords: Evader, optimal strategies, payoff functional, pursuer, value of game
Indexing
