Stabilization of elastic plates with variable coefficients and dynamical boundary control

被引：6

作者：

Guo, YX ^{[1
]}

Chai, SG

Yao, PF

机构：

[1] Tsing Hua Univ, Dept Math, Beijing 100084, Peoples R China

[2] Chinese Acad Sci, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China

[3] Shanxi Univ, Dept Math, Taiyuan 03006, Peoples R China

来源：

QUARTERLY OF APPLIED MATHEMATICS | 2002年 / 60卷 / 02期

关键词：

hybrid system; boundary feedback; rational energy decay rate; Riemannian geometry method;

D O I：

10.1090/qam/1900498

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to investigate the stabilization of a hybrid system composed of a plate equation with variable coefficients and two ordinary differential equations under some suitable feedbacks. A rational energy decay rate is established by the multiplier method and the Riemannian geometry method, and the uniform energy decay rate for a simplified system is obtained.

引用

页码：383 / 400

页数：18

共 50 条

[11] Boundary stabilization of wave equations with variable coefficients
Feng, SJ
Feng, DX
SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY, 2001, 44 (03): : 345 - 350
[12] CONTROLLABILITY AND STABILIZATION OF TWO-DIMENSIONAL ELASTIC VIBRATION WITH DYNAMICAL BOUNDARY CONTROL
YOU, YC
LEE, EB
LECTURE NOTES IN CONTROL AND INFORMATION SCIENCES, 1989, 114 : 297 - 308
[13] Boundary stabilization of a linear elastodynamic system with variable coefficients
Bey, Rabah
Heminna, Amar
Loheac, Jean-Pierre
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2001,
[14] BOUNDARY STABILIZATION OF WAVE EQUATIONS WITH VARIABLE COEFFICIENTS AND MEMORY
Chai, Shugen
Guo, Yuxia
DIFFERENTIAL AND INTEGRAL EQUATIONS, 2004, 17 (5-6) : 669 - 680
[15] Nonlinear boundary stabilization of wave equations with variable coefficients
Feng, SJ
Feng, DX
CHINESE ANNALS OF MATHEMATICS SERIES B, 2003, 24 (02) : 239 - 248
[16] NONLINEAR BOUNDARY STABILIZATION OF WAVE EQUATIONS WITH VARIABLE COEFFICIENTS
FENG SHAOJI FENG DEXING Academy of Mathematics and Systems Science
Chinese Annals of Mathematics, 2003, (02) : 239 - 248
[17] Stabilization of a plate equation with dynamical boundary control
Rao, B
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1995, 321 (11): : 1449 - 1454
[18] MEMORY BOUNDARY FEEDBACK STABILIZATION FOR SCHRODINGER EQUATIONS WITH VARIABLE COEFFICIENTS
Nawel, Abdesselam
Melkemi, Khaled
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017,
[19] Indirect Boundary Stabilization of a System of Schrodinger Equations with Variable Coefficients
Hamchi, Ilhem
Rebiai, Salah Eddine
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2008, 15 (4-5): : 639 - 653
[20] Stabilization of wave equation with variable coefficients by nonlinear boundary feedback
Wu, Jieqiong
Li, Shengjia
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2011, 24 (05) : 875 - 882

← 1 2 3 4 5 →