期刊文献+

带动态边界的非均匀Timoshenko梁的反馈镇定(英文) 被引量:4

Feedback stabilization of nonuniform Timoshenko beam with dynamical boundary
在线阅读 下载PDF
导出
摘要 对于一端具负载的非均质Timoshenko梁 ,研究了其边界反馈镇定问题 .首先提出了一种边界反馈控制方案 ,建立了相应的闭环系统的适定性 .然后利用乘子法证明了 ,当两个边界反馈控制同时作用于梁的负载端时 ,闭环系统是指数稳定的 . The boundary feedback control problem for a nonuniform Timoshenko beam with a load at one end was studied. First, a boundary feedback control scheme was proposed, and the well-posedness of the corresponding closed loop system was established. Then by using the multiplier method, it was proved that the closed loop system was exponentially stable if two boundary feedback controls were applied simultaneously to the beam's tip where the load was carried.
出处 《控制理论与应用》 EI CAS CSCD 北大核心 2003年第5期673-677,共5页 Control Theory & Applications
基金 supportedbytheNationalNaturalScienceFoundationofChina (60 1740 0 8) .
关键词 边界反馈控制 动态边界 非均匀Timoshenko梁 反馈镇定 boundary feedback control Timoshenko beam C-0 semigroups exponential stability multiplier method
  • 相关文献

参考文献10

  • 1KIM J U, RENARDY Y. Boundary control of the Timeoshenko beam[J]. SIAM J of Control & Optimization, 1987,25(6):1417- 1429.
  • 2TIMOSHENKO S. Vibration Problems in Engineering [ M ]. NewYork: Van Nostand, 1955.
  • 3MORGUL O. Boundary control of a Timoshenko beam attached to a rigid body:planar motion [J]. Int J Control, 1991, 54(4): 763-761.
  • 4SHI D H, HOU S H, FENG D X. Feedback stabilization of a Timoshenko beam with an endmass [ J ] . Int J Control, 1998,69(2) :285 --300.
  • 5SHI D H, FENG D X. Exponential decay of Timoshenko beam with locally distributed feedback [J]. IMA J of Mathematical Control and Information, 2001,18:395 - 403.
  • 6LIU K S, LIU Z Y. Boundary stabilization of a nonhomogeneous beam with rotatory inertia at the tip [ J]. J of Computational and Applied Mathematics, 2000, 114(1): 1 - 10.
  • 7RUSSELL D L. Mathematical models for the elastic beam and their control-theoretic implications [A]. Brezis H, Crandall H G, Kapell F. Semigroups, Theory and Applications C]. Essex, England:Longman, 1986,2:177 - 217.
  • 8PAZY A. Semigroup of Linear Operators and Applications to Partial Differential Equations [M]. New York: Springer-Verlag, 1983.
  • 9HUANG F L. On the asymptotical stability of linear dynamical systems in general Banach spaces [J]. Chinese Science Bulletin, 1983,28 (10) : 584 - 586.
  • 10HUANG F L. Characteristic condition for exponential stability of linear dynamical systems in Hilbert spaces [J]. Chinese Annual of Differential Equations, 1985,1:43 -56.

同被引文献41

引证文献4

二级引证文献20

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部