| 引用本文: | 姚翠珍, 郭宝珠.弹性梁点控制、点测量与指数镇定[J].控制理论与应用,2003,20(3):351~360.[点击复制] |
| YAO Cui-zhen, GUO Bao-zhu.Pointwise measure, control and stabilization of elastic beams[J].Control Theory and Technology,2003,20(3):351~360.[点击复制] |
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| 弹性梁点控制、点测量与指数镇定 |
| Pointwise measure, control and stabilization of elastic beams |
| 摘要点击 1222 全文点击 1131 投稿时间：2001-10-19 修订日期：2002-05-08 |
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| DOI编号 10.7641/j.issn.1000-8152.2003.3.007 |
| 2003,20(3):351-360 |
| 中文关键词 分布参数控制 Riesz基 谱确定增长条件 稳定性 |
| 英文关键词 distributed system Riesz basis spectrum-determined growth condition stability |
| 基金项目 国家自然科学基金(60l74008). |
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| 中文摘要 |
| 运用近年来发展的基理论对弹性梁点测量、点控制做一个系统的处理, 得到了用速度线性反馈可实现系统的指数镇定的条件且指数镇定当且仅当系统精确可控, 在指数镇定的情况下闭环系统的广义本征函数生成能量空间的Riesz基且谱确定增长条件成立. |
| 英文摘要 |
| The pointwise measure, control and stabilization based on the Riesz basis approach developed recently is studied. The condition for the exponential stability under linear feedback of output of velocity is derived. The system is proved to be exponentially stable if and only if the open loop system is exactly controllable. Under the exponential stability condition, the system is further shown to be Riesz spectral system and the spectrum-determined growth condition is therefore verified. |