Optimal boundary control problem for n x n infinite-order parabolic lag system

被引：5
|
作者：
El-Saify, H. A. [1 ]
机构：
[1] Beni Suef Univ, Dept Math, Fac Sci, Bani Suwayf, Egypt
来源：
IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION | 2006年 / 23卷 / 04期
关键词：
n x n parabolic lag system; mixed Neumann condition; operator of infinite order; control problem; optimality condition;
D O I：
10.1093/imamci/dni065
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 linear quadratic optimal boundary control problem for n x n coupled system of infinite-order parabolic partial differential equation, in which time-varying lags appear in the state equation and in the Neumann boundary condition simultaneously. By Lions scheme, necessary and sufficient condition of optimality for the Neumann problem with quadratic functional and constraint control is derived. Finally, several mathematical examples for derived optimality conditions are presented.
引用
收藏
页码：433 / 445
页数：13
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