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
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Sufficient second-order optimality conditions for convex control constraints
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