Boundary Feedback Stabilization of the Undamped Euler--Bernoulli Beam with Both Ends Free
Boundary Feedback Stabilization of the Undamped Euler--Bernoulli Beam with Both Ends Free
复制标题
两端自由的无阻尼欧拉--伯努利梁的边界反馈稳定
DOI：
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发表时间：
2004
期刊：
影响因子：
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通讯作者：
F. Huang
中科院分区：
文献类型：
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作者：
Faming Guo;F. Huang
本文研究了一类两端自由的非均匀无阻尼Euler-Bernoulli梁的边界反馈系统。给出了系统指数稳定的充分条件和必要条件。我们的方法基于算子半群技术、乘子技术和频域方法的矛盾论证。
In this paper, we are concerned with a boundary feedback system of a class of nonuniform undamped Euler--Bernoulli beam with both ends free. We give some sufficient conditions and some necessary conditions for the system to have exponential stability. Our method is based on the operator semigroup technique, the multiplier technique, and the contradiction argument of the frequency domain method.