| 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.[点击复制] |
| ZONG Xi-ju, ZHAO Yi.Controllability of Petrowsky equation in bounded domain:a functional approach[J].Control Theory and Technology,2007,24(3):380~384.[点击复制] |
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| 有界区域上Petrowsky系统的能控性: 极小泛函方法 |
| Controllability of Petrowsky equation in bounded domain:a functional approach |
| 摘要点击 1457 全文点击 960 投稿时间：2005-10-09 修订日期：2006-09-04 |
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| DOI编号 10.7641/j.issn.1000-8152.2007.3.010 |
| 2007,24(3):380-384 |
| 中文关键词 能控性 近似能控性 Petrowsky系统 内部控制 极小泛函方法 |
| 英文关键词 controllability approximate controllability Petrowsky equation interior control functional approach |
| 基金项目 国家自然科学基金资助项目(10371136) |
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| 中文摘要 |
| 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. |
| 英文摘要 |
| The interior controllability of Petrowsky equation in a bounded domain is studied in this paper. By constructing 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. |