Optimal control of a quasi-variational obstacle problem

被引：24

作者：

Adly, Samir ^{[1
]}

Bergounioux, Maitine ^{[2
]}

Mansour, Mohamed Ait ^{[3
]}

机构：

[1] Univ Limoges, CNRS, XLIM, UMR 6172, F-87060 Limoges, France

[2] Univ Orleans, UMR 6628, MAPMO, F-45067 Orleans 2, France

[3] Fac Poly Disciplinaire, Safi 46000, Morocco

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2010年 / 47卷 / 03期

关键词：

Optimal control; Quasi-variational inequalities; Mosco convergence; EXISTENCE;

D O I：

10.1007/s10898-008-9366-y

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

We consider an optimal control where the state-control relation is given by a quasi-variational inequality, namely a generalized obstacle problem. We give an existence result for solutions to such a problem. The main tool is a stability result, based on the Mosco-convergence theory, that gives the weak closeness of the control-to-state operator. We end the paper with some examples.

引用

页码：421 / 435

页数：15

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