Global steady-state controllability of one-dimensional semilinear heat equations

被引：110

作者：

Coron, JM ^{[1
]}

Trélat, E ^{[1
]}

机构：

[1] Univ Paris 11, Dept Math, F-91405 Orsay, France

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2004年 / 43卷 / 02期

关键词：

heat equation; controllability; pole shifting; Lyapunov functional;

D O I：

10.1137/S036301290342471X

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We investigate the problem of exact boundary controllability of semilinear one-dimensional heat equations. We prove that it is possible to move from any steady-state to any other by means of a boundary control, provided that both are in the same connected component of the set of steady-states. The proof is based on an effective feedback stabilization procedure, which is implemented.

引用

页码：549 / 569

页数：21

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