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A lagrange multiplier theorem for control problems with state constraints

 

作者: J. -J. Alibert,   J. -P. Raymond,  

 

期刊: Numerical Functional Analysis and Optimization  （Taylor Available online 1998）
卷期: Volume 19, issue 7-8  

页码: 697-704

 

ISSN:0163-0563

 

年代: 1998

 

DOI:10.1080/01630569808816854

 

出版商: Marcel Dekker, Inc.

 

关键词: Optimal control;Optimality conditions;Lagrange multipliers in Banach spaces;Karush-Kuhn-Tucker type theorems;Inequality constraints in Banach spaces;49 K 20

 

数据来源: Taylor

 

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.

 

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