| Timoshenko梁的边界反馈一致镇定 |
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| 引用本文： | 许跟起,冯德兴. Timoshenko梁的边界反馈一致镇定[J]. 数学物理学报(A辑), 2003, 23(6): 719-728 |
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| 作者姓名： | 许跟起 冯德兴 |
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| 作者单位： | [1]山西大学数学系，山西太原030006 [2]中国科学院数学与系统科学研究院系统科学研究所，北京100080 |
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| 基金项目： | 国家自然科学基金 ( 6 0 174 0 0 8)，山西省自然科学基金资助项目 |
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| 摘 要： | 该文研究在Timoshenko梁两端施加边界反馈控制的镇定问题.在某些线性边界反馈作用下,通过分析闭环系统算子的谱,并利用频域方法证明了相应的闭环系统的一致稳定性.
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| 关 键 词： | Timoshenko梁 边界反馈控制 一致镇定 谱的渐近分布 |
| 文章编号： | 1003-3998(2003)06-719-10 |
| 修稿时间： | 2001-11-21 |
Uniform Stabilization of Timoshenko Beams with Boundary Feedback Control |
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| HU Gen-Qi,FENG De-Xin. Uniform Stabilization of Timoshenko Beams with Boundary Feedback Control[J]. Acta Mathematica Scientia, 2003, 23(6): 719-728 |
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| Authors: | HU Gen-Qi FENG De-Xin |
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| Abstract: | The uniform stabilization of Timoshenko beams with boundary feedback control is investigated in the present paper. Under some linear boundary feedback controls, by spectral analysis of the operator determined by the closed loop system, the asmptotes of spectrum of the operator are gigen. Moreover, the spectral determined growth assumption for the closed loop system is proved. Furthermore, it is showed that there is no spectrum of the operator on the imaginary axis, and hence the exponential stability of the closed loop system is obtained, and the rate of exponential decaying is given by the supremum of the real part of spectrum. Finally, the distribution of the spectra of the closed loop system is discussed. |
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| Keywords: | Timoshenko beam Boundary feedback control Uniform stabilization Asymptotic distribution of spectra |
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