ON THE OPTIMAL-CONTROL OF STRONGLY NONLINEAR EVOLUTION-EQUATIONS

被引：34

作者：

PAPAGEORGIOU, NS

机构：

[1] Florida Institute of Technology, Department of Applied Mathematics, Melbourne

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1992年 / 164卷 / 01期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/0022-247X(92)90146-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study optimal control problems governed by nonlinear evolution equations with nonmonotone nonlinearities in the state. First we prove an existence theorem. Then using the penalty method we obtain necessary conditions for optimality. From them we derive a "bang-bang" characterization of optimal controls. Finally an example of a nonlinear parabolic optimal control system is worked out in detail. © 1992.

引用

页码：83 / 103

页数：21

共 23 条

[1] OPTIMAL-CONTROL OF A CLASS OF STRONGLY NONLINEAR PARABOLIC-SYSTEMS [J].