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 |
| DOI | 10.1007/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
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。