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Well-posedness and exact controllability of fourth-order Schrodinger equation with hinged boundary control and collocated observation

文献类型：期刊论文

作者Wen, Ruili1; Chai, Shugen1; Guo, Bao-Zhu1,2,3
刊名MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS
出版日期2016-09-01
卷号28期号:3页码:28
关键词Fourth-order Schrodinger equation Well-posedness Exact controllability Boundary control and observation
ISSN号0932-4194
DOI10.1007/s00498-016-0175-4
英文摘要In this paper, we consider the well-posedness and exact controllability of a fourth-order multi-dimensional Schrodinger equation with hinged boundary by either moment or Dirichlet boundary control and collocated observation, respectively. It is shown that in both cases, the systems are well posed in the sense of D. Salamon, which implies that the systems are exactly controllable in some finite time interval if and only if its corresponding closed loop systems under the direct output proportional feedback are exponentially stable. This leads us to discuss further the exact controllability of the systems. In addition, the systems are consequently shown to be regular in the sense of G. Weiss as well, and the feedthrough operators are zero.
资助项目National Natural Science Foundation of China for the Youth[61503230] ; National Natural Science Foundation of China for the Youth[61403239]
WOS研究方向Automation & Control Systems ; Engineering ; Mathematics
语种英语
WOS记录号WOS:000389837500007
出版者SPRINGER LONDON LTD
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/24307]  
专题系统科学研究所
通讯作者Wen, Ruili
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
推荐引用方式
GB/T 7714		 Wen, Ruili,Chai, Shugen,Guo, Bao-Zhu. Well-posedness and exact controllability of fourth-order Schrodinger equation with hinged boundary control and collocated observation[J]. MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS,2016,28(3):28.
APA Wen, Ruili,Chai, Shugen,&Guo, Bao-Zhu.(2016).Well-posedness and exact controllability of fourth-order Schrodinger equation with hinged boundary control and collocated observation.MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS,28(3),28.
MLA Wen, Ruili,et al."Well-posedness and exact controllability of fourth-order Schrodinger equation with hinged boundary control and collocated observation".MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS 28.3(2016):28.

入库方式： OAI收割

来源：数学与系统科学研究院

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