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

被引：17

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.

引用

页码：331 / 358

页数：28

共 44 条

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[43] A SPECTRAL APPROACH TO THE INDIRECT BOUNDARY CONTROL OF A SYSTEM OF WEAKLY COUPLED WAVE EQUATIONS [J].

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[44] Semigroup well-posedness and exponential stability for the von Kármán beam equation under the combined boundary control of nonlinear delays and non-delays [J].

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Wang, Xin ;

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