Pursuit and Evasion Linear Differential Game Problems with Generalized Integral Constraints
Bashir Mai Umar,
Jewaidu Rilwan,
Maggie Aphane,
Kanikar Muangchoo
Affiliations
Bashir Mai Umar
Department of Mathematical Sciences, Faculty of Physical Sciences, Bayero University Kano, Gwarzo Road, Kano PMB 3011, Nigeria
Jewaidu Rilwan
Department of Mathematical Sciences, Faculty of Physical Sciences, Bayero University Kano, Gwarzo Road, Kano PMB 3011, Nigeria
Maggie Aphane
Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Medunsa, Pretoria 0204, South Africa
Kanikar Muangchoo
Department of Mathematics and Statistics, Faculty of Science and Technology, Rajamangala University of Technology Phra Nakhon (RMUTP), Bang Sue, Bangkok P.O. Box 10800, Thailand
In this paper, we study pursuit and evasion differential game problems of one pursuer/one evader and many pursuers/one evader, respectively, in the space Rn. In both problems, we obtain sufficient conditions that guarantee the completion of a pursuit and an evasion. We construct the players’ optimal strategies in both problems, and we estimate the possible distance that an evader can preserve from pursuers. Lastly, we illustrate our results via some numerical examples.
