Regularization for semilinear elliptic optimal control problems with pointwise state and control constraints

被引：8
作者：
Krumbiegel, Klaus [1 ]
Neitzel, Ira [2 ]
Roesch, Arnd [3 ]
机构：
[1] Weierstrass Inst Appl Math & Stochast, D-10117 Berlin, Germany
[2] Tech Univ Berlin, Fak Math & Nat Wissensch 2, D-10623 Berlin, Germany
[3] Univ Duisburg Essen, Dept Math, D-47057 Duisburg, Germany
来源：
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS | 2012年 / 52卷 / 01期
基金：
奥地利科学基金会;
关键词：
Optimal control; Semilinear elliptic equation; State constraints; Regularization; Virtual control; Second order sufficient conditions; ACTIVE SET STRATEGY; LAGRANGE MULTIPLIERS; EQUATIONS; ERROR; CONVERGENCE;
D O I：
10.1007/s10589-010-9357-z
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：
In this paper a class of semilinear elliptic optimal control problem with pointwise state and control constraints is studied. We show that sufficient second order optimality conditions for regularized problems with small regularization parameter can be obtained from a second order sufficient condition assumed for the unregularized problem. Moreover, error estimates with respect to the regularization parameter are derived.
引用
收藏
页码：181 / 207
页数：27
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