In a given compact subset of R2 which is not necessarily convex, we study a pursuit differential game of many pursuers and one evader. The game must be done in this set. The constraints that we used for controls are coordinate-wise integral. Pursuers want to complete the pursuit and the evader is doing the opposite. Completion of the pursuit means that the distance of evader becomes zero with some pursuers. Some conditions for the completion of pursuit are derived.
Bigdeli, H., Mohammadkarimi, J., & Biranvand, N. (2023). Evasion from many Pursuers on a Compact and not Necessarily Convex Set. Caspian Journal of Mathematical Sciences, 12(1), 51-67. doi: 10.22080/cjms.2022.23653.1627
MLA
Hamid Bigdeli; Javad Mohammadkarimi; Nader Biranvand. "Evasion from many Pursuers on a Compact and not Necessarily Convex Set". Caspian Journal of Mathematical Sciences, 12, 1, 2023, 51-67. doi: 10.22080/cjms.2022.23653.1627
HARVARD
Bigdeli, H., Mohammadkarimi, J., Biranvand, N. (2023). 'Evasion from many Pursuers on a Compact and not Necessarily Convex Set', Caspian Journal of Mathematical Sciences, 12(1), pp. 51-67. doi: 10.22080/cjms.2022.23653.1627
VANCOUVER
Bigdeli, H., Mohammadkarimi, J., Biranvand, N. Evasion from many Pursuers on a Compact and not Necessarily Convex Set. Caspian Journal of Mathematical Sciences, 2023; 12(1): 51-67. doi: 10.22080/cjms.2022.23653.1627
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