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Well-posedness and regularity of weakly coupled wave-plate equation with boundary control and observation
Chai, Shugen1,3; Guo, Bao-Zhu2,3
2009-07-01
发表期刊JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS
ISSN1079-2724
卷号15期号:3页码:331-358
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.
关键词Wave-plate equation well-posed and regular system infinite-dimensional system
DOI10.1007/s10883-009-9072-1
语种英语
资助项目National Natural Science Foundation of China[60774014] ; Program for the Top Young Academic Leaders of Higher Learning Institutions of Shanxi ; National Research Foundation of South Africa
WOS研究方向Automation & Control Systems ; Mathematics
WOS类目Automation & Control Systems ; Mathematics, Applied
WOS记录号WOS:000269192100002
出版者SPRINGER/PLENUM PUBLISHERS
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/9104
专题系统科学研究所
通讯作者Chai, Shugen
作者单位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
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Chai, Shugen,Guo, Bao-Zhu. Well-posedness and regularity of weakly coupled wave-plate equation with boundary control and observation[J]. JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS,2009,15(3):331-358.
APA Chai, Shugen,&Guo, Bao-Zhu.(2009).Well-posedness and regularity of weakly coupled wave-plate equation with boundary control and observation.JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS,15(3),331-358.
MLA Chai, Shugen,et al."Well-posedness and regularity of weakly coupled wave-plate equation with boundary control and observation".JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS 15.3(2009):331-358.
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