NEW STABILITY RESULT FOR A BRESSE SYSTEM WITH ONE INFINITE MEMORY IN THE SHEAR ANGLE EQUATION

被引：2
作者：
Al-Mahdi, Adel M. [1 ]
Al-Gharabli, Mohammad M. [1 ,2 ]
Ali, Saeed M. [2 ]
机构：
[1] King Fahd Univ Petr & Minerals, Interdisciplinary Res Ctr Construct & Bldg Mat, Preparatory Year Program, Dhahran 31261, Saudi Arabia
[2] Imam Abdulrahman Bin Faisal Univ, Coll Engn, Dept Basic Engn Sci, POB 1982, Dammam 34151, Saudi Arabia
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2022年 / 15卷 / 05期
关键词：
Stability; Bress System; infinite memory; convexity; DECAY-RATE; ASYMPTOTIC STABILITY; TIMOSHENKO SYSTEM; RATES;
D O I：
10.3934/dcdss.2021086
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider a one-dimensional linear Bresse system with only one infinite memory acting in the second equation (the shear angle equation) of the system. We prove that the asymptotic stability of the system holds under some general condition imposed into the relaxation function, precisely, g '(t) <= -xi(t)G(g(t)). The proof is based on the multiplier method and makes use of convex functions and some inequalities. More specifically, we remove the constraint imposed on the boundedness condition on the initial data eta 0x. This study generalizes and improves previous literature outcomes.
引用
收藏
页码：995 / 1014
页数：20
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