Exact controllability of the transmission string–beam equations with a single boundary control
Exact controllability of the transmission string–beam equations with a single boundary control
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DOI：
10.1002/mma.9382
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发表时间：
2023-05
影响因子：
2.9
通讯作者：
Zhao Su;Yaping Guo
中科院分区：
文献类型：
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作者：
Zhao Su;Yaping Guo
本文研究了一端固定、另一端与弦线相连的柔性梁传动系统的精确能控性。该控件仅作用于字符串的自由端。利用乘子法证明了传输系统的全能量可以由弦的边界数据估计。最后，利用HUM方法，证明了在控制时刻T>2$$ T>2 $$时，输电系统是精确可控的。
We consider the exact controllability of a transmission system which models a flexible beam with one end clamped and the other end linked to a string. The control only acts on the free end of the string. Using the multiplier method, we prove that the full energy of transmission system can be estimated by the boundary data of string. Finally, by using the HUM method, we deduce that the transmission system is exactly controllable at the time of control T>2$$ T>2 $$ .