BOUNDARY FEEDBACK STABILIZATION OF NONUNIFORM TIMOSHENKO BEAM WITH A TIPLOAD

BOUNDARY FEEDBACK STABILIZATION OF NONUNIFORM TIMOSHENKO BEAM WITH A TIPLOAD
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DOI:
10.1142/s0252959901000450
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发表时间:
2001-10
期刊:
Chinese Annals of Mathematics
影响因子:
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通讯作者:
Qingxu Yan;Dexing Feng
Qingxu Yan;Dexing Feng
中科院分区:
其他
文献类型:
--
作者:
Qingxu Yan;Dexing Feng

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研究了一端附着质量的Timoshenko梁的边界稳定问题。首先,在加载端同时存在线性边界力反馈和力矩控制的情况下,证明闭环系统对应的能量在时间t→∞时指数收敛于零。然后,给出了一些反例来证明,在其他情况下,相应的闭环系统一般不是渐近稳定的,更不用说指数稳定了。
The boundary stabilization problem of a Timoshenko beam attached with a mass at one end is studied. First, with linear boundary force feedback and moment control simultaneously at the end attached with the load, the energy corresponding to the closed loop system is proven to be exponentially convergent to zero as time t→∞. Then, some counterexamples are given to show that, in other cases, the corresponding closed loop system is, in general, not stable asymtotically, let alone exponentially.