中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
Recent progress on controllability/observability for systems governed by partial differential equations

文献类型:期刊论文

作者Li, Hongheng1; Lue, Qi1; Zhang, Xu2
刊名JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
出版日期2010-06-01
卷号23期号:3页码:527-545
关键词Controllability hyperbolic equations observability parabolic equations
ISSN号1009-6124
DOI10.1007/s11424-010-0144-9
英文摘要The main purpose of this paper is to overview some recent methods and results on controllability/observability problems for systems governed by partial differential equations. First, the authors review the theory for linear partial differential equations, including the iteration method for the null controllability of the time-invariant heat equation and the Rellich-type multiplier method for the exact controllability of the time-invariant wave equation, and especially a unified controllability/observability theory for parabolic and hyperbolic equations based on a global Carleman estimate. Then, the authors present sharp global controllability results for both semi-linear parabolic and hyperbolic equations, based on linearization approach, sharp observability estimates for the corresponding linearized systems and the fixed point argument. Finally, the authors survey the local null controllability result for a class of quasilinear parabolic equations based on the global Carleman estimate, and the local exact controllability result for general hyperbolic equations based on a new unbounded perturbation technique.
资助项目National Science Foundation of China[10831007] ; National Science Foundation of China[60821091] ; National Science Foundation of China[60974035] ; Spanish Ministry of Science and Innovation[MTM2008-03541]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000279592400009
出版者SPRINGER HEIDELBERG
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/9620]  
专题中国科学院数学与系统科学研究院
通讯作者Li, Hongheng
作者单位1.Sichuan Univ, Sch Math, Chengdu 610064, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
推荐引用方式
GB/T 7714
Li, Hongheng,Lue, Qi,Zhang, Xu. Recent progress on controllability/observability for systems governed by partial differential equations[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,2010,23(3):527-545.
APA Li, Hongheng,Lue, Qi,&Zhang, Xu.(2010).Recent progress on controllability/observability for systems governed by partial differential equations.JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,23(3),527-545.
MLA Li, Hongheng,et al."Recent progress on controllability/observability for systems governed by partial differential equations".JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY 23.3(2010):527-545.

入库方式: OAI收割

来源:数学与系统科学研究院

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