On the stabilization of elastic plates with dynamical boundary control

被引：4

作者：

Liu, Y ^{[1
]}

Jiang, WS ^{[1
]}

Huang, FL ^{[1
]}

机构：

[1] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2005年 / 18卷 / 03期

基金：

中国国家自然科学基金;

关键词：

elastic plate; exponential stability; boundary feedback;

D O I：

10.1016/j.aml.2004.01.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the exponential stabilization of elastic plates with dynamical boundary control. We show that the corresponding system with velocity and angular velocity feedbacks control in the dynamical boundary is not exponentially stable. Our main tool is the frequency-domain criterion for exponential stability of semigroups. (c) 2004 Elsevier Ltd. All rights reserved.

引用

页码：353 / 359

页数：7

共 50 条

[1] Stabilization of elastic plates with dynamical boundary control
Rao, BP
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1998, 36 (01) : 148 - 163
[2] Stabilization of elastic plates with variable coefficients and dynamical boundary control
Guo, YX
Chai, SG
Yao, PF
QUARTERLY OF APPLIED MATHEMATICS, 2002, 60 (02) : 383 - 400
[3] Stabilization of elastic plates with dynamical boundary control without geometrical conditions
Liu, Yan
Advances in Matrix Theory and Applications, 2006, : 437 - 440
[4] DYNAMICAL BOUNDARY CONTROL FOR ELASTIC PLATES OF GENERAL SHAPE
MARKUS, L
YOU, YC
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1993, 31 (04) : 983 - 992
[5] Stabilization of thermoelastic plates with variable coefficients and dynamical boundary control
Chai, SG
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2005, 36 (05): : 227 - 249
[6] 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
[7] 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
[8] Uniform boundary stabilization of the dynamical von Karman and Timoshenko equations for plates
Menzala, GP
Pazoto, AF
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2006, 136 : 385 - 413
[9] Boundary control and stabilization of Kirchhoff and von Karman plates
Horn, MA
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1996, 76 : 437 - 440
[10] STABILIZATION OF THE WAVE EQUATION WITH VARIABLE COEFFICIENTS AND A DYNAMICAL BOUNDARY CONTROL
Zhang, Zhifei
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2016,

← 1 2 3 4 5 →