AUGMENTED LAGRANGIAN METHOD FOR DISTRIBUTED OPTIMAL-CONTROL PROBLEMS WITH STATE CONSTRAINTS

被引:21
作者
BERGOUNIOUX, M
机构
[1] Département de Mathématiques et d'Informatique, Université d'Orléans, Orléans
关键词
OPTIMAL CONTROL; LAGRANGE MULTIPLIERS; AUGMENTED LAGRANGIANS;
D O I
10.1007/BF00939879
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 state-constrained optimal control problems governed by elliptic equations. Doing Slater-like assumptions, we know that Lagrange multipliers exist for such problems, and we propose a decoupled augmented Lagrangian method. We present the algorithm with a simple example of a distributed control problem.
引用
收藏
页码:493 / 521
页数:29
相关论文
共 13 条
[1]  
BERGOUNIOUX M, 1990, CR ACAD SCI I-MATH, V310, P391
[2]   A PENALIZATION METHOD FOR OPTIMAL-CONTROL OF ELLIPTIC PROBLEMS WITH STATE CONSTRAINTS [J].
BERGOUNIOUX, M .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1992, 30 (02) :305-323
[3]  
BERGOUNIOUX M, 1992, NUMERICAL EXPT ELLIP
[4]  
BERGOUNIOUX M, 1992, 148 U JYV PREPR
[5]  
BERGOUNIOUX M, IN PRESS APPLIED MAT
[6]  
Bonnans J.F., 1986, ANAL STINFICE IASI, V32, P57
[7]  
BONNANS JF, 1984, NUMER FUNC ANAL OPT, V7, P333
[9]  
CIARLET P, 1991, HDB NUMERICAL ANAL, V2, P59
[10]  
Fortin M., 1982, METHODES MATH INFORM