On the Internal and Boundary Control of the Laminated Beams

被引：0

作者：

Mustaf, Muhammad, I ^{[1
]}

机构：

[1] Univ Sharjah, Dept Math, POB 27272, Sharjah, U Arab Emirates

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2022年 / 19卷 / 06期

关键词：

laminated beams; uniform stability; internal and boundary dampings; EXPONENTIAL STABILITY; ENERGY DECAY;

D O I：

10.1007/s00009-022-02189-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider laminated beams model with structural damping. With one internal frictional damping in the first equation and one boundary damping both modulated by time-dependent coefficients, we establish a uniform stability result without imposing any conditions on the physical parameters of the system. The same stability result will be obtained in the absence of the structural damping provided that the wave speeds are equal.

引用

页数：14

共 50 条

[1] On the Internal and Boundary Control of the Laminated Beams
Muhammad I. Mustafa
Mediterranean Journal of Mathematics, 2022, 19
[2] Stabilization of the laminated beams by internal and boundary dampings
Mustafa, Muhammad, I
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2022, 73 (06):
[3] Stabilization of the laminated beams by internal and boundary dampings
Muhammad I. Mustafa
Zeitschrift für angewandte Mathematik und Physik, 2022, 73
[4] Exponential stability of laminated Timoshenko beams with boundary/internal controls
Alves, M. S.
Monteiro, R. N.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 482 (01)
[5] Uniform stability for laminated beams with time-dependent boundary conditions
Mustafa, Muhammad, I
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 45 (11) : 6791 - 6800
[6] Exponential stabilization of laminated beams with structural damping and boundary feedback controls
Wang, JM
Xu, GQ
Yung, SP
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2005, 44 (05) : 1575 - 1597
[7] On the Internal and Boundary Stabilization of Timoshenko Beams
Salim A. Messaoudi
Muhammad I. Mustafa
Nonlinear Differential Equations and Applications NoDEA, 2008, 15 : 655 - 671
[8] Easy Test for Stability of Laminated Beams with Structural Damping and Boundary Feedback Controls
Xue-Guang Cao
Dong-Yi Liu
Gen-Qi Xu
Journal of Dynamical and Control Systems, 2007, 13 : 313 - 336
[9] On the Internal and Boundary Stabilization of Timoshenko Beams
Messaoudi, Salim A.
Mustafa, Muhammad I.
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2008, 15 (06): : 655 - 671
[10] Easy test for stability of laminated beams with structural damping and boundary feedback controls
Cao, Xue-Guang
Liu, Dong-Yi
Xu, Gen-Qi
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, 2007, 13 (03) : 313 - 336

← 1 2 3 4 5 →