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Evasion from many Pursuers on a Compact and not Necessarily Convex Set | ||
Caspian Journal of Mathematical Sciences | ||
دوره 12، شماره 1 - شماره پیاپی 23، 2023، صفحه 51-67 اصل مقاله (709.55 K) | ||
نوع مقاله: Research Articles | ||
شناسه دیجیتال (DOI): 10.22080/cjms.2022.23653.1627 | ||
نویسندگان | ||
Hamid Bigdeli* 1؛ Javad Mohammadkarimi1؛ Nader Biranvand2 | ||
1Department of Science and Technology Studies, AJA Command and Staff University | ||
2Department of Mathematics, Faculty of Sciences, Imam Ali University, Tehran, I.R.Iran. | ||
تاریخ دریافت: 18 خرداد 1401، تاریخ بازنگری: 15 شهریور 1401، تاریخ پذیرش: 19 شهریور 1401 | ||
چکیده | ||
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. | ||
کلیدواژهها | ||
Differential Game؛ Integral Constraint؛ Nonconvexity | ||
آمار تعداد مشاهده مقاله: 153 تعداد دریافت فایل اصل مقاله: 134 |