State-constrained optimal control of nonlinear elliptic variational inequalities

被引：1
|
作者：
Serovajsky, S. [1 ]
机构：
[1] Al Farabi Kazakh Natl Univ, Alma Ata 050078, Kazakhstan
来源：
OPTIMIZATION LETTERS | 2014年 / 8卷 / 07期
关键词：
Optimal control; Variational inequality; State constraints; Penalty method; OBSTACLE;
D O I：
10.1007/s11590-013-0700-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：
An optimization control problem for systems described by abstract variational inequalities with state constraints is considered. The solvability of this problem is proved. The problem is approximated by the penalty method. The convergence of this method is proved. Necessary conditions of optimality for the approximation problem are obtained. Its solution is an approximate optimal control of the initial problem.
引用
收藏
页码：2041 / 2051
页数：11
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