Optimality conditions and adjoint state for a perturbed boundary optimal control system

被引：1

作者：

Akkouchi, M ^{[1
]}

Bounabat, A ^{[1
]}

机构：

[1] Univ Cadi Ayyad, Fac Sci Semlalia, Dept Math, Marrakech, Morocco

来源：

APPLIED MATHEMATICS LETTERS | 2001年 / 14卷 / 07期

关键词：

perturbed states; linear boundary optimal control systems; optimality conditions; adjoint state;

D O I：

10.1016/S0893-9659(01)00064-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we are concerned with finding optimal controls for a class of linear boundary optimal control systems associated to a Laplace operator on a regular bounded domain in the n-dimensional Euclidean space. For these systems, in previous works (see [1,2]), we proved existence of the (perturbed) states and optimal controls, and studied their behaviour. The purpose of this paper is to establish the system of optimality conditions, investigate the adjoint states, and prove their strong convergence in some Sobolev spaces. (C) 2001 Elsevier Science Ltd. All rights reserved.

引用

页码：907 / 912

页数：6