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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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 73, No. 10, pp. 1330–1341, October, 2021. Ukrainian DOI: https://doi.org/10.37863/umzh.v73i10.6750.
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Kalosha, J.I., Zuyev, A.L. Asymptotic Stabilization of a Flexible Beam with Attached Mass. Ukr Math J 73, 1537–1550 (2022). https://doi.org/10.1007/s11253-022-02012-6
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DOI: https://doi.org/10.1007/s11253-022-02012-6