CONTROL AND STABILIZATION FOR THE WAVE-EQUATION IN A BOUNDED DOMAIN

被引：104

作者：

CHEN, G ^{[1
]}

机构：

[1] SO ILLINOIS UNIV,DEPT MATH,CARBONDALE,IL 62901

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 1979年 / 17卷 / 01期

关键词：

D O I：

10.1137/0317007

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Exact controllability problem of the wave equation is studied by the stabilizability method of D. L. Russell. It is shown that if we use the linear ″velocity feedback,″ then the energy of the system will decay uniformly exponentially and exact controllability can be achieved. In a case where the velocity feedback contains a certain nonlinear dissipative term, it is proved that this system evolves as a nonlinear semigroup with respect to time. Certain estimates for the nonlinear equation are also obtained.

引用

页码：66 / 81

页数：16

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