کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
792120 | 902017 | 2007 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A linear differential game on a plane with a minimum-type functional
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موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی مکانیک
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
A differential game on a plane with a functional in the form of the minimum, with respect to time, of a certain prescribed phase vector function (quality function) is considered. It is proved that the game value is constant outside a certain bounded region, consisting of two parts. In the first subregion, the value is equal to the quality function, and in the second it satisfies Bellman's equation. For the constant-value region, where the players’ optimum strategies are not unique, single-valued guaranteeing players’ strategies are proposed. The results of a numerical investigation of the problem are presented.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Applied Mathematics and Mechanics - Volume 71, Issue 2, 2007, Pages 234–246
Journal: Journal of Applied Mathematics and Mechanics - Volume 71, Issue 2, 2007, Pages 234–246
نویسندگان
A.R. Akhmetzhanov, A.A. Melikyan,