Asymptotic Stabilization of a Flexible Beam with Attached Mass

被引：0
|
作者：
J. I. Kalosha
A. L. Zuyev
机构：
[1] Institute of Applied Mathematics and Mechanics,
[2] National Academy of Sciences of Ukraine,undefined
[3] Otto von Guericke University Magdeburg,undefined
[4] Max Planck Institute for Dynamics of Complex Technical Systems,undefined
来源：
Ukrainian Mathematical Journal | 2022年 / 73卷
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摘要：
We consider a mathematical model of a simply supported Euler–Bernoulli beam with an attached springmass system. The model is controlled by distributed piezo-actuators and a lumped force. We address the issue of asymptotic behavior of the solutions of this system driven by a linear feedback law. The precompactness of trajectories is established for the operator formulation of the closed-loop dynamics. Sufficient conditions for the strong asymptotic stability of the trivial equilibrium are obtained.
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页码：1537 / 1550
页数：13
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