کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8904454 1633704 2017 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Determining the discriminating domain for hybrid linear differential game with two players and two targets
ترجمه فارسی عنوان
تعیین دامنه تبعیض آمیز برای بازی هیجانی با بازی دو نفره و دو هدف
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
چکیده انگلیسی
This paper studies a bounded discriminating domain for hybrid linear differential game with two players and two targets using viability theory. First of all, we prove that the convex hull of a closed set is also a discriminating domain if the set is a discriminating domain. Secondly, in order to determine that a bounded polyhedron is a discriminating domain, we give a result that it only needs to verify that the extreme points of the polyhedron meet the viability conditions. The difference between our result and the existing ones is that our result just needs to verify the finite points (extreme points) and the existing ones need to verify all points in the bounded polyhedron.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Acta Mathematica Scientia - Volume 37, Issue 6, November 2017, Pages 1594-1606
نویسندگان
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