Control for the sine-Gordon equation

被引：6

作者：

Petcu, M ^{[1
]}

Temam, R

机构：

[1] Univ Paris 11, Anal Numer Lab, Orsay, France

[2] Romanian Acad, Inst Math, Bucharest, Romania

[3] Indiana Univ, Inst Appl Math & Sci Comp, Bloomington, IN 47405 USA

来源：

ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS | 2004年 / 10卷 / 04期

关键词：

robust control; sine-Gordon equation; energy estimates; saddle point;

D O I：

10.1051/cocv:2004020

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 article we apply the optimal and the robust control theory to the sine-Gordon equation. In our case the control is given by the boundary conditions and we work in a finite time horizon. We present at the beginning the optimal control problem and we derive a necessary condition of optimality and we continue by formulating a robust control problem for which existence and uniqueness of solutions are derived.

引用

页码：553 / 573

页数：21

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