کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4624331 | 1339542 | 2006 | 20 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Sufficient second-order optimality conditions for convex control constraints
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله

چکیده انگلیسی
In this article sufficient optimality conditions are established for optimal control problems with pointwise convex control constraints. Here, the control is a function with values in Rn. The constraint is of the form u(x)∈U(x), where U is a set-valued mapping that is assumed to be measurable with convex and closed images. The second-order condition requires coercivity of the Lagrange function on a suitable subspace, which excludes strongly active constraints, together with first-order necessary conditions. It ensures local optimality of a reference function in an L∞-neighborhood. The analysis is done for a model problem namely the optimal distributed control of the instationary Navier–Stokes equations.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 319, Issue 1, 1 July 2006, Pages 228-247
Journal: Journal of Mathematical Analysis and Applications - Volume 319, Issue 1, 1 July 2006, Pages 228-247