Pontryagin's principle for local solutions of control problems with mixed control-state constraints

被引：47

作者：

Casas, E ^{[1
]}

Raymond, JP

Zidani, H

机构：

[1] Univ Cantabria, ETSI Ind & Telecomunicac, Dept Matemat Aplicada & Ciencias Computac, E-39005 Santander, Spain

[2] Univ Toulouse 3, UMR CNRS MIP, UFR MIG, F-31062 Toulouse 4, France

[3] Univ Orleans, CNRS, UMR 6628, F-45067 Orleans 2, France

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2000年 / 39卷 / 04期

关键词：

optimal control; nonlinear boundary controls; semilinear parabolic equations; state constraints; Pontryagin's minimum principle; unbounded controls;

D O I：

10.1137/S0363012998345627

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper deals with optimal control problems of semilinear parabolic equations with pointwise state constraints and coupled integral state-control constraints. We obtain necessary optimality conditions in the form of a Pontryagin's minimum principle for local solutions in the sense of L-p, p less than or equal to +infinity.

引用

页码：1182 / 1203

页数：22

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