Stabilization of Variable Coefficients Euler-Bernoulli Beam with Viscous Damping under a Force Control in Rotation and Velocity Rotation

Bomisso G. Jean Marc, Tour¨¦ K. Augustin and Yoro Gozo

Journal of Mathematics Research, 2017, vol. 9, issue 6, 1-13

Abstract: This paper investigates the problem of exponential stability for a damped Euler-Bernoulli beam with variable coefficients clamped at one end and subjected to a force control in rotation and velocity rotation. We adopt the Riesz basis approach for show that the closed-loop system is a Riesz spectral system. Therefore, the exponential stability and the spectrum-determined growth condition are obtained.

Keywords: Beam equation; boundary feedback control; exponential stability; semigroup theory; Riesz basis (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:ibn:jmrjnl:v:9:y:2017:i:6:p:1

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