Robust boundary control for the Kuramoto-Sivashinsky equation

被引:0
作者
Hu, CB [1 ]
Temam, R [1 ]
机构
[1] Indiana Univ, Inst Appl Math & Sci Comp, Bloomington, IN 47405 USA
来源
OPTIMAL CONTROL AND PARTIAL DIFFERENTIAL EQUATIONS: IN HONOR OF PROFESSOR ALAIN BENSOUSSAN'S 60TH BIRTHDAY | 2001年
关键词
robust boundary control; Kuramoto-Sivashinsky equation;
D O I
暂无
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
Robust control theory, a generalization of optimal control theory, has been proposed as an effective technique when control algorithms are sensitive to a broad class of external disturbances. In [BTZ], a general framework for the robust control of the Navier-Stokes equations in finite time horizon was developed. In this article the robust boundary control for the Kuramoto-Sivashinsky equation is considered in the same spirit : a robust boundary control problem is formulated, and the existence and uniqueness for the robust control problem are proved. This approach is also applicable as well to other equations with a structure similar to that of the Kuramoto-Sivashinsky equation. Details will be given elsewhere, as well as an application to a data assimilation problem.
引用
收藏
页码:353 / 362
页数:10
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