RECENT PROGRESS ON C ONTROLLABILITY/OBSERVABILITY FOR SYSTEMS GOVERNED BY PARTIAL DIFFERENTIAL EQUATIONS
文献类型：期刊论文
| 作者 | Li Hongheng2; Lu Qi2; Zhang Xu1 |
| 刊名 | 系统科学与复杂性：英文版
 |
| 出版日期 | 2010 |
| 卷号 | 000期号:003页码:527-545 |
| 关键词 | 非线性偏微分方程 线性系统 Carleman 拟线性抛物型方程 精确可控性 双曲方程 线性化方法 波动方程 |
| ISSN号 | 1009-6124 |
| 其他题名 | RECENT PROGRESS ON C ONTROLLABILITY/OBSERVABILITY FOR SYSTEMS GOVERNED BY PARTIAL DIFFERENTIAL EQUATIONS |
| 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 techniaue. |
| 语种 | 中文 |
| CSCD记录号 | CSCD:4077043 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/56422]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 作者单位 | 1.中国科学院数学与系统科学研究院 2.四川大学 |
| 推荐引用方式 GB/T 7714 | Li Hongheng,Lu Qi,Zhang Xu. RECENT PROGRESS ON C ONTROLLABILITY/OBSERVABILITY FOR SYSTEMS GOVERNED BY PARTIAL DIFFERENTIAL EQUATIONS[J]. 系统科学与复杂性：英文版,2010,000(003):527-545. |
| APA | Li Hongheng,Lu Qi,&Zhang Xu.(2010).RECENT PROGRESS ON C ONTROLLABILITY/OBSERVABILITY FOR SYSTEMS GOVERNED BY PARTIAL DIFFERENTIAL EQUATIONS.系统科学与复杂性：英文版,000(003),527-545. |
| MLA | Li Hongheng,et al."RECENT PROGRESS ON C ONTROLLABILITY/OBSERVABILITY FOR SYSTEMS GOVERNED BY PARTIAL DIFFERENTIAL EQUATIONS".系统科学与复杂性：英文版 000.003(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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