Optimal memory-type boundary control of the Bresse system

Article type: Research Article

Authors: Feng, Baowei^{a; *} | Messaoudi, Salim^b | Soufyane, Abdelaziz^b | Zahri, Mostafa^b

Affiliations: [a] Department of Mathematics, Southwestern University of Finance and Economics, Chengdu, People’s Republic of China | [b] College of Sciences, Department of Mathematics, Research Group MASEP, University of Sharjah, Sharjah, United Arab Emirates

Correspondence: [*] Corresponding author. E-mail: [email protected].

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.

Keywords: Bresse system, Timoshenko, viscoelastic damping, general decay, convexity

DOI: 10.3233/ASY-221784

Journal: Asymptotic Analysis, vol. 132, no. 1-2, pp. 29-60, 2023