| 引用本文: | 宗西举,赵怡,殷朝阳.有界区域上Petrowsky系统的能控性和能稳性[J].控制理论与应用,2006,23(2):229~234.[点击复制] |
| ZONG Xi-ju,ZHAO Yi,YIN Zhao-yang.Controllability and stabilizability of the Petrowsky equation in bounded domain[J].Control Theory and Technology,2006,23(2):229~234.[点击复制] |
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| 有界区域上Petrowsky系统的能控性和能稳性 |
| Controllability and stabilizability of the Petrowsky equation in bounded domain |
| 摘要点击 1513 全文点击 1017 投稿时间：2004-11-15 修订日期：2005-05-31 |
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| DOI编号 |
| 2006,23(2):229-234 |
| 中文关键词 Petrowsky系统 能稳性 能控性 能稳性导致能控性 |
| 英文关键词 Petrowsky system exact controllability stabilizability controllability via stabilizability |
| 基金项目 |
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| 中文摘要 |
| 利用D.L.Russel关于“能稳性导致能控性”的论断,研究Petrowsky系统的能控性,首先取线性反馈控制,得到线性反馈Petrowsky系统的能量的指数衰减,从而由D.L.Russel的“能稳性导致能控性”的论断得到能控性.其次取非线性反馈控制,得到Petrowsky系统的一些能量估计,但是不能得到指数能稳. |
| 英文摘要 |
| Exact controllability problem of the Petrowsky system is studied by using the stabilization method proposed by D.L.Russel.It is shown that if one uses the linear "feedback",then the energy of the system will decay uniformly exponentially and exact controllability can be obtained.However,when the feedback contains certain nonlinear dissipative terms the above conclusion can not be reached. |
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