Solutions differentiability of parametric optimal control for elliptic equations

被引：0
|
作者：
Malanowski, K [1 ]
机构：
[1] Polish Acad Sci, Syst Res Inst, PL-01447 Warsaw, Poland
来源：
SYSTEM MODELING AND OPTIMIZATION XX | 2003年 / 130卷
关键词：
parametric optimal control; elliptic equation; nonlinear boundary control; control constraints; Bouligand differentiability of the solutions;
D O I：
暂无
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：
A family of parameter dependent elliptic optimal control problems with nonlinear boundary control is considered. The control function is subject to amplitude constraints. It is shown that under standard coercivity conditions the solutions to the problems are Bouligand differentiable (in L-s, s < infinity) functions of the parameter. The differentials are characterized as the solutions of accessory linear-quadratic problems.
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页码：271 / 285
页数：15
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