Second order sufficient optimality conditions for some state-constrained control problems of semilinear elliptic equations

被引：59

作者：

Casas, E ^{[1
]}

Tröltzsch, F

Unger, A

机构：

[1] Univ Cantabria, ETSI Ind & Telecomunicac, Dept Matemat Aplicada & Ciencias Computac, Santander 39071, Spain

[2] Tech Univ Chemnitz Zwickau, Fak Math, D-09107 Chemnitz, Germany

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2000年 / 38卷 / 05期

关键词：

boundary control; semilinear elliptic equations; sufficient optimality conditions; state constraints;

D O I：

10.1137/S0363012997324910

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 a class of optimal control problems governed by elliptic equations with nonlinear boundary condition. The case of boundary control is studied. Pointwise constraints on the control and certain equality and set-constraints on the state are considered. Second order sufficient conditions for local optimality of controls are established.

引用

页码：1369 / 1391

页数：23

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