• DocumentCode
    2738901
  • Title

    On the finite time stability for stochastic distributed parameter systems with free boundary-application to the micro-tunneling machine

  • Author

    Aihara, ShinIchi ; Kabeuchi, Teruo

  • Author_Institution
    Suwa Coll., Sci. Univ. of Tokyo, Japan
  • fYear
    2000
  • fDate
    2000
  • Firstpage
    143
  • Lastpage
    148
  • Abstract
    We consider a finite-time stochastic stability for distributed parameter systems with free boundary condition. This mathematical model is deduced from the analysis of the tracking error of the installed pipe from the designed path in the micro-tunneling machine. After showing that the proposed mathematical system has a solution in some function spaces, we study the finite-time stability problem. The buckling phenomena of the installed pipe is simulated related to the derived sufficient conditions for the finite-time stability
  • Keywords
    distributed parameter systems; excavators; stability; stochastic systems; tracking; buckling phenomena; finite-time stochastic stability; free boundary; micro-tunneling machine; stochastic distributed parameter systems; tracking error; Boundary conditions; Distributed parameter systems; Drilling; Educational institutions; Equations; Lifting equipment; Magnetic heads; Stability; Stochastic systems; Tunneling;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Robot and Human Interactive Communication, 2000. RO-MAN 2000. Proceedings. 9th IEEE International Workshop on
  • Conference_Location
    Osaka
  • Print_ISBN
    0-7803-6273-X
  • Type

    conf

  • DOI
    10.1109/ROMAN.2000.892485
  • Filename
    892485