Work

The influence of the physical coefficients of a Bresse system with one singular local viscous damping in the longitudinal displacement on its stabilization

Year: 2022

Type: article

Abstract: In this paper, we investigate the stabilization of a linear Bresse system with one singular local frictional damping acting in the longitudinal displacement, under fully Dirichlet boundary conditions. First, we prove the strong stability of our system. Next, using a frequency domain approach combined with the multiplier method, we establish the exponential stability of the solution if the three waves have the same speed of propagation. On the contrary, we prove that the energy of our system decays polynomially with rates \begin{document}$ t^{-1} $\end{document} or \begin{document}$ t^{-\frac{1}{2}} $\end{document} .

Source: Evolution equations and control theory

DOI: 10.3934/eect.2022004

Authors: Mohammad Akil, Haidar Badawi

Institution: Université Polytechnique Hauts-de-France

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W3134800877

FWCI: 0.772

Cites: 40

Cited by: 10

Related to: 10