Optimal memory-type boundary control of the Bresse system-Reference-Cited by-同舟云学术

Optimal memory-type boundary control of the Bresse system

Published:2023-03-02 Issue:1-2 Volume:132 Page:29-60
ISSN:1875-8576
Container-title:Asymptotic Analysis
language:
Short-container-title:ASY

Author:

Feng Baowei¹,Messaoudi Salim²,Soufyane Abdelaziz²,Zahri Mostafa²

Affiliation:

1. Department of Mathematics, Southwestern University of Finance and Economics, Chengdu, People’s Republic of China

2. College of Sciences, Department of Mathematics, Research Group MASEP, University of Sharjah, Sharjah, United Arab Emirates

Abstract

In this paper, we study the stability of a Bresse system with memory-type boundary conditions. For a wider class of kernel functions, we establish an optimal explicit energy decay result. Our stability result improves many earlier results in the literature. Finally, we also give four numerical tests to illustrate our theoretical results using the conservative Lax–Wendroff method scheme.

Publisher

IOS Press

Subject

General Mathematics

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