Optimal control of n x n parabolic system involving time lag

被引：7

作者：

El-Saify, H. A. ^{[1
]}

机构：

[1] Branch Cairo Univ, Dept Math, Fac Sci, Bani Suwayf, Egypt

来源：

IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION | 2005年 / 22卷 / 03期

关键词：

n x n parabolic system; time-lag; Neumann problem; second-order operator; infinite number of variables; control problem; optimality condition;

D O I：

10.1093/imamci/dni011

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 the optimal control problem for an nxn coupled system of second-order parabolic partial differential equations with infinitely many variables and constant time lag. Making use of the Lions scheme (Lions, 1971, Optimal Control of Systems Governed by Partial Differential Equations), necessary and sufficient condition of optimality for the Neumann problem with quadratic performance functional and constraint control is derived. Finally, several mathematical examples for derived optimality conditions are presented.

引用

页码：240 / 250

页数：11

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