Existence and uniqueness of optimal control for a distributed-parameter bilinear system

被引：31

作者：

Addou, A ^{[1
]}

Benbrik, A ^{[1
]}

机构：

[1] Univ Mohamed I, Fac Sci, Dept Math & Informat, Oujda, Morocco

来源：

JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | 2002年 / 8卷 / 02期

关键词：

optimal control; parabolic operator; compact embedding; bilinear system;

D O I：

10.1023/A:1015372725255

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we study an optimal control problem of bilinear type. The system is governed by a fourth-order parabolic operator. The performance index is of the form J(u) = [GRAPHICS] Under suitable hypotheses, it is shown that there exists an optimal control (u) over bar and it satisfies an appropriate optimality system. Further, for a small initial state (u) over bar is unique.

引用

页码：141 / 152

页数：12