Abstract
In this paper, the energy decay rates for the axially moving Kirchhoff-type beams with the nonlinear boundary feedback control are established. The nonlinear boundary control, which satisfies a various constraint condition, is a negative feedback of the transverse velocity at the right boundary of beam. Several energy decay rates are provided due to various growth restriction on the nonlinear boundary feedback near the origin and at infinity. To verify the proposed control approach, numerical simulations are shown by the finite element method.
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