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

被引：16
|
作者：
Chai, Shugen [1 ,3 ]
Guo, Bao-Zhu [2 ,3 ]
机构：
[1] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Peoples R China
[2] Acad Sinica, Acad Math & Syst Sci, Beijing 100190, Peoples R China
[3] Univ Witwatersrand, Sch Computat & Appl Math, ZA-2050 Johannesburg, South Africa
来源：
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | 2009年 / 15卷 / 03期
基金：
中国国家自然科学基金; 新加坡国家研究基金会;
关键词：
Wave-plate equation; well-posed and regular system; infinite-dimensional system; DIRICHLET CONTROL; STABILIZATION; CONTROLLABILITY;
D O I：
10.1007/s10883-009-9072-1
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 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：28
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