A Lagrange multiplier theorem for control problems with state constraints

被引：19

作者：

Alibert, JJ

Raymond, JP

机构：

[1] Univ Toulon & Var, Dept Math, F-83957 La Garde, France

[2] Univ Paul Sabatier, Lab MIP, UFR MIG, F-31062 Toulouse 04, France

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 1998年 / 19卷 / 7-8期

关键词：

optimal control; optimality conditions; Lagrange multipliers in Banach spaces; Karush-Kuhn-Tucker type theorems; inequality constraints in Banach spaces;

D O I：

10.1080/01630569808816854

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove an existence theorem of Lagrange multipliers for an abstract control problem in Banach spaces. This theorem may be applied to obtain optimality conditions for control problems governed by partial differential equations in the presence of pointwise state constraints.

引用

页码：697 / 704

页数：8

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