On the stabilization of a flexible structure via a nonlinear delayed boundary control-Reference-Cited by-同舟云学术

On the stabilization of a flexible structure via a nonlinear delayed boundary control

Published:2022 Issue:12 Volume:27 Page:7043
ISSN:1531-3492
Container-title:Discrete and Continuous Dynamical Systems - B
language:
Short-container-title:DCDS-B

Author:

Chentouf Boumediène¹,Feng Baowei²

Affiliation:

1. Kuwait University, Faculty of Science, Department of Mathematics, Safat 13060, Kuwait

2. Department of Mathematics, Southwestern University of Finance and Economics, Chengdu 611130, China

Abstract

<p style='text-indent:20px;'>The main concern of this article is to investigate the stabilization problem of a flexible structure with one dynamical boundary condition subject to two nonlinearities in the proposed boundary control. Specifically, the first nonlinearity is related to the velocity term, while the second one arises from the delayed term. Despite such a situation, it is shown that the system has a global solution by means of semigroups theory of nonlinear operators. More importantly, we prove that the system energy decays. An estimate of the decay rate of the energy is explicitly provided depending on the type of the nonlinearities.</p>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics

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