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

Farma Ali S. Samuel; Halima Nachid; Kouassi Ayo Ayebie Hermith; Toure K. Augustin

doi:https://doi.org/10.56827/JRSMMS.2024.1201.2

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

Volume 12, Issue 1 Pages 19-42 December 30, 2024 176 downloads

Article overview

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$C_{0}$-semigroupsexponential stabilityRiesz basis.

AMS Subject Classification

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

Reference information

How to Cite

Farma Ali S. Samuel, Halima Nachid, Kouassi Ayo Ayebie Hermith, Toure K. Augustin (2024). EXPONENTIAL STABILITY OF NON-UNIFORM EULER-BERNOULLI BEAM WITH A INDEFINITE DAMPING UNDER A FORCE CONTROL IN VELOCITY AND ANGULAR VELOCITY. Journal of Ramanujan Society of Mathematics and Mathematical Sciences, 12(1), 19-42.

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