Boundary feedback stabilization of Timoshenko beam with boundary dissipation

被引：0

作者：

冯德兴

史东华

张维弢

机构：

来源：

Science China Mathematics | 1998年 / 05期

关键词：

Timoshenko beam; boundary feedback control; nonlinear semigroup; energy perturbed method;

D O I：

暂无

中图分类号：

O231 [控制论（控制论的数学理论）];

学科分类号：

070105 ; 0711 ; 071101 ; 0811 ; 081101 ;

摘要：

Nonlinear boundary feedback control to a Timoshenko beam is studied. Under some nonlinear boundary feedback controls, the nonlinear semi group theory is used to show the well posedness for the correspnding closed loop system. Then by using the energy perturbed method, it is proved that the vibration of the beam under the proposed control actions decays asymptotically or exponentially as t →∞.

引用

页码：483 / 490

页数：8

共 50 条

[21] Asymptotic behavior of Timoshenko beam with dissipative boundary feedback
Yan, QY
Hou, SH
Feng, DX
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 269 (02) : 556 - 577
[22] Stabilization of exact nonlinear Timoshenko beams in space by boundary feedback
Do, K. D.
[J]. JOURNAL OF SOUND AND VIBRATION, 2018, 422 : 278 - 299
[23] Boundary Feedback Stabilization of Kirchhoff-Type Timoshenko System
Wu, Yuhu
Xue, Xiaoping
[J]. JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, 2014, 20 (04) : 523 - 538
[24] Boundary Feedback Stabilization of Kirchhoff-Type Timoshenko System
Yuhu Wu
Xiaoping Xue
[J]. Journal of Dynamical and Control Systems, 2014, 20 : 523 - 538
[25] Exponential Stabilization for Timoshenko Beam with Distributed Delay in the Boundary Control
Liu, Xiu Fang
Xu, Gen Qi
[J]. ABSTRACT AND APPLIED ANALYSIS, 2013,
[26] BOUNDARY STABILIZATION OF NONUNIFORM TIMOSHENKO BEAM WITH ROTOR INERTIA AT THE TIP
CHEN Zhenguo YAN Qingxu LI Zhaoqi (Information Engineering School
[J]. Journal of Systems Science & Complexity, 2004, (02) : 176 - 187
[27] BOUNDARY STABILIZATION OF NONUNIFORM TIMOSHENKO BEAM WITH ROTOR INERTIA AT THE TIP
CHEN Zhenguo YAN Qingxu LI Zhaoqi Information Engineering School China Geosciences University Beijing China
[J]. JournalofSystemsScienceandComplexity., 2004, (02) - 187
[28] Exponential stabilization for Timoshenko beam with different delays in the boundary control
Liu, Xiu Fang
Xu, Gen Qi
[J]. IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2017, 34 (01) : 93 - 110
[29] Boundary feedback stabilization of nonlinear beam models
Hegarty, Gareth
Taylor, Stephen
[J]. Control Methods in PDE-Dynamical Systems, 2007, 426 : 243 - 253
[30] The Riesz basis property of a Timoshenko beam with boundary feedback and application
Xu, GQ
Feng, DX
[J]. IMA JOURNAL OF APPLIED MATHEMATICS, 2002, 67 (04) : 357 - 370

← 1 2 3 4 5 →