• DocumentCode
    1482805
  • Title

    Vibrational stabilization of nonlinear parabolic systems with Neumann boundary conditions

  • Author

    Bentsman, Joseph ; Hong, Keum S.

  • Author_Institution
    Dept. of Mech. Ind. Eng., Illinois Univ., Urbana, IL, USA
  • Volume
    36
  • Issue
    4
  • fYear
    1991
  • fDate
    4/1/1991 12:00:00 AM
  • Firstpage
    501
  • Lastpage
    507
  • Abstract
    The conditions for the existence of the stabilizing vibrations for a class of distributed parameter systems governed by parabolic partial differential equations with Neumann boundary conditions are derived. The guidelines for the choice of the vibration parameters that ensure stabilization are given. Examples of vibrational stabilization of unstable systems by linear multiplicative and vector additive vibrations are given to support the theory
  • Keywords
    distributed parameter systems; nonlinear systems; partial differential equations; stability; vibration control; Neumann boundary conditions; distributed parameter systems; nonlinear parabolic systems; parabolic partial differential equations; stability; vibration control; vibrational stabilization; Boundary conditions; Concurrent computing; Control systems; Differential equations; Distillation equipment; Linear systems; Open loop systems; Optimal control; Parallel processing; Riccati equations;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.75112
  • Filename
    75112
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1482805