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

Autor:	Tour '{e} K. Augustin, Bomisso G. Jean Marc, Yoro Gozo
Rok vydání:	2017
Předmět:	Physics symbols.namesake Classical mechanics Exponential stability Basis (linear algebra) Semigroup Axis–angle representation Mathematical analysis symbols Rotation Euler's rotation theorem Beam (structure) Variable (mathematics)
Zdroj:	Journal of Mathematics Research. 9:1
ISSN:	1916-9809 1916-9795
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::86784bb01e4a9bef1b5a708fa286e08d https://doi.org/10.5539/jmr.v9n6p1 Zobrazit plný text záznamu