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

页码：353 / 362

页数：10