Exponential stability of axially moving Kirchhoff-beam systems with nonlinear boundary damping and disturbance
نویسندگان
چکیده
<p style='text-indent:20px;'>This paper examines the stabilization problem of axially moving Kirchhoff beam. Under nonlinear damping criterion established by slope-restricted condition, existence and uniqueness solutions closed-loop system equipped with time-delay disturbance at boundary is investigated via Faedo-Galerkin approximation method. Furthermore, solution continuously dependent on initial conditions. Then exponential stability direct Lyapunov method, where a novel energy function constructed.</p>
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ژورنال
عنوان ژورنال: Discrete and Continuous Dynamical Systems-series B
سال: 2022
ISSN: ['1531-3492', '1553-524X']
DOI: https://doi.org/10.3934/dcdsb.2021230