| 带动态边界的非均匀Timoshenko梁的反馈镇定 |
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| 引用本文： | 阎庆旭,冯德兴.带动态边界的非均匀Timoshenko梁的反馈镇定[J].控制理论与应用,2003,20(5):673-677. |
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| 作者姓名： | 阎庆旭 冯德兴 |
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| 作者单位： | 1. 中国地质大学,信息工程学院,北京,100083
2. 中国科学院,数学与系统科学研究院,北京,100080 |
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| 基金项目： | supportedbytheNationalNaturalScienceFoundationofChina (60 1740 0 8) . |
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| 摘 要： | 对于一端具负载的非均质Timoshenko梁, 研究了其边界反馈镇定问题. 首先提出了一种边界反馈控制方案, 建立了相应的闭环系统的适定性. 然后利用乘子法证明了, 当两个边界反馈控制同时作用于梁的负载端时, 闭环系统是指数稳定的.
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| 关 键 词： | 边界反馈控制 Timoshenko梁 C0半群 指数稳定性 乘子法 |
| 收稿时间： | 2002/9/29 0:00:00 |
| 修稿时间： | 2003/5/20 0:00:00 |
Feedback stabilization of nonuniform Timoshenko beam with dynamical boundary |
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| YAN Qing-xu and FENG De-xing.Feedback stabilization of nonuniform Timoshenko beam with dynamical boundary[J].Control Theory & Applications,2003,20(5):673-677. |
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| Authors: | YAN Qing-xu and FENG De-xing |
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| Affiliation: | Information Engineering School, China University of Geosciences, Beijing 00083,China;Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 00080,China |
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| Abstract: | The boundary feedback control problem for a nonuniform Timoshenko beam with a load at one end was studied. First, a boundary feedback control scheme was proposed, and the well-posedness of the corresponding closed loop system was established. Then by using the multiplier method, it was proved that the closed loop system was exponentially stable if two boundary feedback controls were applied simultaneously to the beam's tip where the load was carried. |
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| Keywords: | boundary feedback control Timoshenko beam C-0 semigroups exponential stability multiplier method |
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