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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D O I：

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中图分类号：

学科分类号：

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.

引用

页码：1537 / 1550

页数：13

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