Rational energy decay rate for the wave equation with delay term on the dynamical control

被引：8

作者：

Bayili, Gilbert ^{[1
]}

Nicaise, Serge ^{[2
]}

Silga, Roland ^{[1
]}

机构：

[1] Univ Joseph KI ZERBO, Dept Math, Lab Math & Informat LAMI, UFR,Sci Exactes & Appl, 03 BP 7021, Ouagadougou 03, Burkina Faso

[2] Univ Polytech Hauts de France, LAMAV Lab Math & Leurs Applicat Valenciennes, FR CNRS 2956, F-59313 Valenciennes, France

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2021年 / 495卷 / 01期

关键词：

Time delay; Dynamical control; Strong stability; Lack of uniform stability; Rational decay; TIME DELAYS; STABILIZATION; BOUNDARY; STABILITY; FEEDBACK; RESPECT; SYSTEMS; CONTRACTION; ROBUSTNESS;

D O I：

10.1016/j.jmaa.2020.124693

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the wave equation with a delay term in the dynamical control. If the delay term is small enough, we establish the strong stability of this system, but show that it is not exponentially stable. We then prove that the system with delay has the same rational decay rate than the one without delay. (C) 2020 Elsevier Inc. All rights reserved.

引用

页数：17

共 36 条

[1] THE MULTIDIMENSIONAL WAVE EQUATION WITH GENERALIZED ACOUSTIC BOUNDARY CONDITIONS II: POLYNOMIAL STABILITY [J].