Abstract
This paper studies the stabilization problem of uniform Euler-Bernoulli beam with a nonlinear locally distributed feedback control. By virtue of nonlinear semigroup theory, energy-perturbed approach and polynomial multiplier skill, the authors show that, corresponding to the different values of the parameters involved in the nonlinear locally distributed feedback control, the energy of the beam under the proposed feedback decays exponentially or in negative power of time t as t → ∞.
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This research is supported by the National Science Foundation of China under Grant Nos. 10671166 and 60673101.
This paper was recommended for publication by Editor Dexing FENG.
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Yan, Q., Hou, S. & Zhang, L. Stabilization of Euler-Bernoulli beam with a nonlinear locally distributed feedback control. J Syst Sci Complex 24, 1100–1109 (2011). https://doi.org/10.1007/s11424-011-8360-5
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DOI: https://doi.org/10.1007/s11424-011-8360-5