Exponential Stability of a Non-homogeneous Rotating Body-Beam System with Variable Coefficients

被引:0
|
作者
Chen Xin [1 ,2 ]
Wang Jun-Min [1 ]
机构
[1] Beijing Inst Technol, Sch Math, Beijing 100081, Peoples R China
[2] Beijing Informat Sci Technol Univ, Sch Appl Sci, Beijing 100192, Peoples R China
来源
2014 33RD CHINESE CONTROL CONFERENCE (CCC) | 2014年
关键词
Rotating body-beam; Nonhomogeneous coeffcients; Dynamic boundary control; Exponential stability; Riesz basis; Spectral analysis; EULER-BERNOULLI BEAM; RIESZ BASIS PROPERTY; STABILIZATION; DECAY; FEEDBACK;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, we consider a system of a flexible beam attached to the center of a rotating rigid disk. The disk rotates freely around its axis with a non-uniform angular velocity and the motion of the beam with non-homogeneous spatial coefficients is confined to a plane perpendicular to the disk. The system can be exponentially stabilized under the boundary feedback and the torque control. Furthermore, Riesz basis property can be proved for the closed-loop system with uniform angular velocity by the method of spectral analysis.
引用
收藏
页码:2652 / 2657
页数:6
相关论文
共 50 条
  • [21] A non-homogeneous weakly damped Lame system with time-dependent delay
    da Silva, Paulo L. Dattori
    Ma, To Fu
    Maravi-Percca, Edwin M.
    Seminario-Huertas, Paulo N.
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (08) : 8793 - 8805
  • [22] Stochastic stability analysis of integral non-homogeneous Markov jump systems
    Yin, Yanyan
    Zhu, Lijie
    Zeng, Hongbing
    Liu, Yanqing
    Liu, Fei
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2018, 49 (03) : 479 - 485
  • [23] Uniformly Stability of Networked Control Systems with Non-homogeneous Markov Chain
    Jiang, Pengfei
    Zhu, Jin
    Wu, Xinghua
    Tan, Xiaobin
    2018 37TH CHINESE CONTROL CONFERENCE (CCC), 2018, : 1416 - 1421
  • [24] EXPONENTIAL STABILITY OF A JOINT-LEG-BEAM SYSTEM WITH MEMORY DAMPING
    Zhang, Qiong
    MATHEMATICAL CONTROL AND RELATED FIELDS, 2015, 5 (02) : 321 - 333
  • [25] Exponential Stability of the Energy of the Wave Equation with Variable Coefficients and a Boundary Distributed Delay
    Liu, Wenjun
    ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2014, 69 (10-11): : 547 - 552
  • [26] Exponential stability of variable coefficients Rayleigh beams under boundary feedback controls: a Riesz basis approach
    Wang, JM
    Xu, GQ
    Yung, SP
    SYSTEMS & CONTROL LETTERS, 2004, 51 (01) : 33 - 50
  • [27] Periodicity and exponential stability of discrete-time neural networks with variable coefficients and delays
    Xu, Hui
    Wu, Ranchao
    ADVANCES IN DIFFERENCE EQUATIONS, 2013,
  • [28] On exponential stability of a semilinear wave equation with variable coefficients under the nonlinear boundary feedback
    Guo, Bao-Zhu
    Shao, Zhi-Chao
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (12) : 5961 - 5978
  • [29] Periodicity and exponential stability of discrete-time neural networks with variable coefficients and delays
    Hui Xu
    Ranchao Wu
    Advances in Difference Equations, 2013
  • [30] Exponential stability and numerical computation for a nonlinear shear beam system
    Aouragh, My Driss
    Segaoui, M'hamed
    Soufyane, Abdelaziz
    ACTA MECHANICA, 2024, 235 (04) : 2029 - 2040