Well-posedness and regularity of weakly coupled wave-plate equation with boundary control and observation

被引：0
|
作者：
Shugen Chai
Bao-Zhu Guo
机构：
[1] Shanxi University,School of Mathematical Sciences
[2] University of the Witwatersrand,School of Computational and Applied Mathematics
[3] Academia Sinica,Academy of Mathematics and Systems Science
来源：
Journal of Dynamical and Control Systems | 2009年 / 15卷
关键词：
35J; 93C; Wave-plate equation; well-posed and regular system; infinitedimensional system;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider the open-loop system of a weakly coupled linear wave-plate equation with Dirichlet boundary control and collocated observation. It is shown that the system is well-posed in the sense of D. Salamon and regular in the sense of G. Weiss. With the multiplier method, the feedthrough operator is explicitly represented.
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页码：331 / 358
页数：27
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