Analysis of exponential stability in a damped variable coefficients Rayleigh beam, suggesting effective control methods.
In this paper we study the exponential stability of a damped variable coefficients Rayleigh beam, that is clamped at one end and is free at the other. This is a continuation of the work of Wang et al in [17]. To stabilize the system, we apply a leaner boundary control in position and velocity at the free end of the beam. Using the modern spectral analysis approach, we obtain the Riesz basis property and the exponential stability.
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Bouallagui et al. (2025) studied this question.
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