Exact boundary controllability for the wave equation with time-dependent and variable coefficients

被引：0

作者：

Liu Yuixiang ^{[1
]}

Yao Pengfei ^{[1
]}

机构：

[1] Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China

来源：

2014 33RD CHINESE CONTROL CONFERENCE (CCC) | 2014年

基金：

美国国家科学基金会;

关键词：

wave equation with variable coefficients; exact controllability; Riemannian manifold; geometric optics;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper deals with boundary exact controllability for the dynamics governed by the wave equation with nonconstant coefficients in the principal part, subject to Neumann boundary controls with time-dependent and variable coefficients. The observability inequalities are established by the Riemannian geometry method under some geometric condition for the Neumann problem. The result is obtained by the multiplier method and compactness-uniqueness argument

引用

页码：2695 / 2700

页数：6

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