Stabilization of elastic plates with dynamical boundary control

被引：44

作者：

Rao, BP ^{[1
]}

机构：

[1] Univ Strasbourg 1, Inst Rech Math Avancee, F-67084 Strasbourg, France

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 1998年 / 36卷 / 01期

关键词：

hybrid system; compact boundary feedback; lack of uniform stability; rational energy decay rate;

D O I：

10.1137/S0363012996300975

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We consider a hybrid system composed of a plate equation and two ordinary differential equations. We prove that the system is strongly but not uniformly stable. By a new approach, we show that the smooth solution has a rational decay rate. Finally we establish the uniform energy decay rate for a simplified hybrid system.

引用

页码：148 / 163

页数：16

共 50 条

[1] On the stabilization of elastic plates with dynamical boundary control
Liu, Y
Jiang, WS
Huang, FL
APPLIED MATHEMATICS LETTERS, 2005, 18 (03) : 353 - 359
[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 →