EXPONENTIAL STABILITY OF NON-UNIFORM EULER-BERNOULLI BEAM WITH A INDEFINITE DAMPING UNDER A FORCE CONTROL IN VELOCITY AND ANGULAR VELOCITY

Print ISSN: 2319-1023 | Online ISSN: 2582-5461 | Total Downloads : 15

Volume : 12 , Issue : 1
DOI: https://doi.org/10.56827/JRSMMS.2024.1201.2
Author :
Farma Ali S. Samuel (Department of Mathematics, Nangui Abrogoua University, Cote dIvoire )
Halima Nachid (Department of Mathematics, Nangui Abrogoua University, Cote dIvoire )
Kouassi Ayo Ayebie Hermith (Institut National Polytechnique Felix Houphouet Boigny, Cote dIvoire)
Toure K. Augustin (Institut National Polytechnique Felix Houphouet Boigny, Cote dIvoire)

Abstract

In this paper we study the Riesz basis property and the exponential stability of a damped Euler-Bernoulli beam system with variables coefficients. The beam is clamped at one end and controlled at the free end by a force control in velocity and angular velocity. The exponential stability of the system is obtained using the Riesz basis approach.

Keywords and Phrases

Euler-Bernoulli beam, $C_{0}$-semigroups, exponential stability, Riesz basis.

A.M.S. subject classification

34A12, 34A34, 34A45, 47H10.

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