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Rapid Stabilization of Timoshenko Beam System with the Internal Delay Control

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Abstract

In this paper, we are concerned with rapid stabilization of Timoshenko beam system with the internal delay control. The main idea of solving the stabilization problem is transformation. The original time delay system is firstly transformed into the undelayed system, and then the feedback control law which can stabilize the undelayed system is found. Finally, we prove that the feedback control law can also exponentially stabilize the time delay system.

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Funding

This research was supported by the Fundamental Research Funds for the Central Universities of Civil Aviation University of China (G. No. 3122019140).

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  1. Department of Mathematics, Civil Aviation University of China, Tianjin, 300300, P.R. China

    Xie Yaru & Chen Yuwen

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  1. Xie Yaru
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  2. Chen Yuwen
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Correspondence to Xie Yaru.

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Xie, Y., Chen, Y. Rapid Stabilization of Timoshenko Beam System with the Internal Delay Control. Acta Appl Math 186, 7 (2023). https://doi.org/10.1007/s10440-023-00588-0

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