| 一维耦合线性系统的零能控性 |
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| 引用本文： | 陈旭东.一维耦合线性系统的零能控性[J].四川大学学报(自然科学版),2011,48(1):23-26. |
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| 作者姓名： | 陈旭东 |
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| 作者单位： | 四川大学数学学院,成都,610064 |
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| 摘 要： | 作者主要研究了一维耦合线性系统在波部分的边界的零能控性问题,证明了当时间T足够大时该系统是零能控的.该证明主要包括了波部分的逐点能量估计和热部分的Carle-man估计.
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| 关 键 词： | 线性耦合系统 零能控性 逐点能量估计 Carleman估计 |
Null controllability of a 1-d linear coupled system |
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| CHEN Xu-Dong.Null controllability of a 1-d linear coupled system[J].Journal of Sichuan University (Natural Science Edition),2011,48(1):23-26. |
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| Authors: | CHEN Xu-Dong |
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| Institution: | Colloge of Mathematics, Sichuan University |
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| Abstract: | In this paper the author studies the null controllability problem related to a 1-d linear coupled system,and analyzes the problem of null controllability when the control acts on the free boundary x=-1,I.e.the boundary of interval where the linear wave equation holds.It is proved that the system is null controllability when the time T is large enough.The proof combines sidewise energy estimates for the wave component and Carleman estimates for the heat component. |
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| Keywords: | linear coupled system null controllability sidewise energy estmate Carleman estimate |
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