| 有界区域上Petrowsky系统的能控性:极小泛函方法 |
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| 引用本文： | 宗西举,赵怡.有界区域上Petrowsky系统的能控性:极小泛函方法[J].控制理论与应用,2007,24(3):380-384. |
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| 作者姓名： | 宗西举 赵怡 |
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| 作者单位： | 济南大学,控制科学与工程学院,山东,济南,250022;中山大学,数计学院,广东,广州,510275 |
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| 基金项目： | 国家自然科学基金资助项目(10371136). |
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| 摘 要： | 利用极小泛函方法研究Petrowsky系统的控制问题.通过构造下半连续,严格凸的强制的泛函,把能控性问题,近似能控性问题转化为求泛函极小值存在的问题,从而得到了一些能控制性理论的充分必要条件,这些结果是采用了极小泛函方法得到的,改进了利用乘子方法得到的结果.
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| 关 键 词： | 能控性 近似能控性 Petrowsky系统 内部控制 极小泛函方法 |
| 文章编号： | 1000-8152（2007）03-0380-05 |
| 收稿时间： | 2005/10/9 0:00:00 |
| 修稿时间： | 9/4/2006 12:00:00 AM |
Controllability of Petrowsky equation in bounded domain:a functional approach |
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| ZONG Xi-ju,ZHAO Yi.Controllability of Petrowsky equation in bounded domain:a functional approach[J].Control Theory & Applications,2007,24(3):380-384. |
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| Authors: | ZONG Xi-ju ZHAO Yi |
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| Affiliation: | School of Control Science and Engineering, University of Jinan, Jinan Shandong 250022, China;School of Mathematical and Computational Science, Sun Yat-sen University, Guangzhou Guangdong 510275, China |
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| Abstract: | The interior controllability of Petrowsky equation in a bounded domain is studied in this paper.By construct-ing functionals which are low-semi-continuous,strictly convex and coercive,some necessary and sufficient conditions are obtained to guarantee the controllability and the approximate controllability,which are more direct than what are obtained by the multiplier method. |
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| Keywords: | controllability approximate controllability Petrowsky equation interior control functional approach |
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