کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6419074 | 1339372 | 2012 | 18 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A reduction of topological infinite-horizon optimization to periodic optimization in a class of compact 2-manifolds
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A reduction of topological infinite-horizon optimization to periodic optimization in a class of compact 2-manifolds A reduction of topological infinite-horizon optimization to periodic optimization in a class of compact 2-manifolds](/preview/png/6419074.png)
چکیده انگلیسی
We consider a general class of infinite-horizon optimization problems, where the phase space is a two dimensional manifold satisfying the Jordan curve theorem, and the set of feasible curves satisfies general conditions similar to, but weaker than the solution set of a control system. We verify the existence of an optimal periodic solution for this class of problems. Applying this result we obtain two new results: we generalize a previous result for discounted infinite-horizon control problems, and provide a Poincaré-Bendixson type result for continuous generalized semi-flows.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 394, Issue 1, 1 October 2012, Pages 84-101
Journal: Journal of Mathematical Analysis and Applications - Volume 394, Issue 1, 1 October 2012, Pages 84-101
نویسندگان
Ido Bright,