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.
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页码：1182 / 1203
页数：22
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