کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4609414 1338510 2016 27 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Optimal actuator location of minimum norm controls for heat equation with general controlled domain
ترجمه فارسی عنوان
محل اجرای مطلوب کنترل حداقل کنترل برای معادله گرما با دامنه کنترل به طور کلی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
چکیده انگلیسی

In this paper, we study optimal actuator location of the minimum norm controls for a multi-dimensional heat equation with control defined in the space L2(Ω×(0,T))L2(Ω×(0,T)). The actuator domain is time-varying in the sense that it is only required to have a prescribed Lebesgue measure for any moment. We select an optimal actuator location so that the optimal control takes its minimal norm over all possible actuator domains. We build a framework of finding the Nash equilibrium so that we can develop a sufficient and necessary condition to characterize the optimal relaxed solutions for both actuator location and corresponding optimal control of the open-loop system. The existence and uniqueness of the optimal classical solutions are therefore concluded. As a result, we synthesize both optimal actuator location and corresponding optimal control into a time-varying feedbacks.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 261, Issue 6, 15 September 2016, Pages 3588–3614
نویسندگان
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