• DocumentCode
    853401
  • Title

    Vibrational control of nonlinear systems: Vibrational stabilizability

  • Author

    Bellman, Richard E. ; Bentsman, Joseph ; Meerkov, Semyon M.

  • Author_Institution
    University of Southern California, Los Angeles, CA, USA
  • Volume
    31
  • Issue
    8
  • fYear
    1986
  • fDate
    8/1/1986 12:00:00 AM
  • Firstpage
    710
  • Lastpage
    716
  • Abstract
    In this work, the theory of vibrational control for nonlinear systems is developed. The present paper gives criteria for stabilizability of nonlinear systems by linear multiplicative vibrations, by almost periodic forcing and by vector additive vibrations. Illustrative examples are also considered. In a subsequent paper, the problem of vibrational controllability and transient behavior will be addressed.
  • Keywords
    Mechanical variables control; Stability, nonlinear systems; Chemical reactors; Control systems; Controllability; Laser feedback; Nonlinear control systems; Nonlinear systems; Optical control; Vectors; Vibration control; Vibration measurement;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1986.1104384
  • Filename
    1104384