OPTIMAL-CONTROL OF PARABOLIC PROBLEMS WITH STATE CONSTRAINTS - A PENALIZATION METHOD FOR OPTIMALITY CONDITIONS

被引：5

作者：

BERGOUNIOUX, M

机构：

[1] Département de Mathématiques et d'Informatique, U.F.R. Sciences, Université d'Orléans, Orléans Cedex 2, 45067

来源：

APPLIED MATHEMATICS AND OPTIMIZATION | 1994年 / 29卷 / 03期

关键词：

OPTIMAL CONTROL; OPTIMALITY CONDITIONS; STATE CONSTRAINTS; LAGRANGE MULTIPLIERS; PARABOLIC SYSTEMS; PENALIZATION;

D O I：

10.1007/BF01189479

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper state constrained optimal control problems governed by parabolic evolution equations are studied. Our purpose is to obtain a (first-order) decoupled optimality system (that ensures the Lagrange multipliers existence). In a first. step we are led to Slater-like assumptions and we are then allowed to extend the application field of the decoupled system we obtain. With a weaker assumption the existence of Lagrange multipliers (that are measures) for nonqualified problems may be established.

引用

页码：285 / 307

页数：23

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