| 树状结构的弹性振动弦的节点反馈镇定 |
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| 引用本文： | 杨坤一,姚翠珍. 树状结构的弹性振动弦的节点反馈镇定[J]. 应用泛函分析学报, 2005, 7(4): 324-330 |
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| 作者姓名： | 杨坤一 姚翠珍 |
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| 作者单位： | 北京理工大学应用数学系,北京,100081 |
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| 基金项目： | 国家自然科学基金（19971031） |
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| 摘 要： | 考虑树状结构的弹性振动弦网络系统．运用频域上的能量乘子法证明了当根部固定时，其余节点的线性反馈控制可使得系统能量指数衰减且谱确定增长条件成立．
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| 关 键 词： | 弦方程 边界控制 稳定性 谱确定增长条件 |
| 文章编号： | 1009-1327（2005）04-0324-07 |
| 收稿时间： | 2002-06-13 |
| 修稿时间： | 2002-06-13 |
Stabilization of Tree-Shaped Networks of Strings under Nodal Feedbacks |
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| YANG Kun-yi,YAO Cui-zhen. Stabilization of Tree-Shaped Networks of Strings under Nodal Feedbacks[J]. Acta Analysis Functionalis Applicata, 2005, 7(4): 324-330 |
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| Authors: | YANG Kun-yi YAO Cui-zhen |
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| Abstract: | A tree-shaped other nodals are controlled system. Using the energy system is exponentially sta network of vibrating elastic strings for which root nodal is clamped and is considered. The nodal feedback stabilizers are designed to stabilize the multiplier method in frequency domain, it is shown that the closed-loop ble. the spectrum-determining growth condition is also concluded. |
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| Keywords: | string equation boundary control stability the spectrum-determining growth condition |
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