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

doi:10.1007/s00498-016-0175-4

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	Well-posedness and exact controllability of fourth-order Schrodinger equation with hinged boundary control and collocated observation
	Wen, Ruili 1; Chai, Shugen 1; Guo, Bao-Zhu1,2,3
	2016-09-01
发表期刊	MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS
ISSN	0932-4194
卷号	28 期号:3 页码:28
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.
关键词	Fourth-order Schrodinger equation Well-posedness Exact controllability Boundary control and observation
DOI	10.1007/s00498-016-0175-4
语种	英语
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
WOS类目	Automation & Control Systems ; Engineering, Electrical & Electronic ; Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000389837500007
出版者	SPRINGER LONDON LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/24308
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.