On a class of optimal control problems with distributed and lumped parameters

被引：1

作者：

Teymurov, R. A. ^{[1
]}

机构：

[1] Azerbaijan Natl Acad Sci, Inst Math & Mech, Ul B Vahabzadeh 9, AZ-1141 Baku, Azerbaijan

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2016年 / 56卷 / 03期

关键词：

moving sources; integral identity; maximum principle; Hamilton-Pontryagin function; necessary optimality conditions; control problem for a parabolic equation;

D O I：

10.1134/S0965542516030167

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The optimal control of moving sources governed by a parabolic equation and a system of ordinary differential equations with initial and boundary conditions is considered. For this problem, an existence and uniqueness theorem is proved, sufficient conditions for the Fr,chet differentiability of the cost functional are established, an expression for its gradient is derived, and necessary optimality conditions in the form of pointwise and integral maximum principles are obtained.

引用

页码：396 / 406

页数：11

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