A stability result of a Timoshenko system with a delay term in the internal feedback
A stability result of a Timoshenko system with a delay term in the internal feedback
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DOI：
10.1016/j.amc.2010.08.021
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发表时间：
2010-11
期刊：
影响因子：
--
通讯作者：
B. Houari;Y. Laskri
中科院分区：
文献类型：
--
作者：
B. Houari;Y. Laskri
本文考虑反馈中存在时滞项的Timoshenko系统，证明了系统的稳定性。光束在端点处被夹住，除了内部阻尼外，还有一个带有延迟的反馈。在对两个反馈权的适当假设下，我们证明了系统的适定性，并建立了等速波传播情况下的指数衰减结果。
In this paper, we consider a Timoshenko system with a delay term in the feedback and prove a stability result. The beam is clamped at the endpoints and has, in addition to an internal damping, a feedback with a delay. Under an appropriate assumption on the weights of the two feedbacks, we prove the well-posedness of the system and establish an exponential decay result for the case of equal-speed wave propagation.