Boundary stabilization of a hybrid system

被引：0

作者：

Liu, KS ^{[1
]}

Liu, ZY ^{[1
]}

机构：

[1] Zhejiang Univ, Dept Math Appl, Hangzhou 310027, Peoples R China

来源：

CONTROL OF DISTRIBUTED PARAMETER AND STOCHASTIC SYSTEMS | 1999年 / 13卷

关键词：

boundary stabilization; beam; hybrid system; backward well-posedness; spectral completeness; multiplier technique;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the boundary stabilization of a degenerate hybrid system composed of an Euler-Bernoulli beam with a tip mass. It is proved that the system is exponentially stabilizable when the usual velocity feedback controls are applied at the end with the tip mass. We also establish time reversibility and spectral completeness of the closed-loop system.

引用

页码：95 / 101

页数：7

共 50 条

[31] Boundary stabilization of an axially moving system of elasticity with an exponentially bounded external disturbance
Aouragh, My Driss
Nahli, Mohamed
[J]. COMPUTATIONAL & APPLIED MATHEMATICS, 2022, 41 (07)
[32] Exact boundary controllability of a hybrid system of elasticity by the HUM method
Rao, B
[J]. ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2001, 6 (07) : 183 - 199
[33] Boundary stabilization of nonhomogeneous beam by the frequency domain multiplier method
Liu, Kangsheng
Liu, Zhuangyi
[J]. COMPUTATIONAL & APPLIED MATHEMATICS, 2002, 21 (01): : 299 - 313
[34] The lack of exponential stability of the hybrid Bresse system
Rifo, Sergio
Villagran, Octavio Vera
Munoz Rivera, Jaime E.
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 436 (01) : 1 - 15
[35] FEEDBACK STABILIZATION OF A HYBRID PDE-ODE SYSTEM - APPLICATION TO AN OVERHEAD CRANE
DANDREANOVEL, B
BOUSTANY, F
CONRAD, F
RAO, BP
[J]. MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 1994, 7 (01) : 1 - 22
[36] On an impulsive hybrid system of conformable fractional differential equations with boundary conditions
Ahmad, Bashir
Alghanmi, Madeaha
Alsaedi, Ahmed
Agarwal, Ravi P.
[J]. INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2020, 51 (05) : 958 - 970
[37] Boundary Stabilization of Hyperbolic Hemivariational Inequalities
Sun Hye Park
Jong Yeoul Park
Jin Mun Jeong
[J]. Acta Applicandae Mathematicae, 2008, 104 : 139 - 150
[38] Boundary stabilization of nonuniform Timoshenko beam
Si S.
[J]. Applied Mathematics-A Journal of Chinese Universities, 1999, 14 (4) : 467 - 474
[39] Boundary feedback stabilization of shallow shells
Chai, SG
Guo, YX
Yao, PF
[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2003, 42 (01) : 239 - 259
[40] Dirichlet boundary stabilization of the wave equation
Ammari, K
[J]. ASYMPTOTIC ANALYSIS, 2002, 30 (02) : 117 - 130

← 1 2 3 4 5 →