• DocumentCode
    434700
  • Title

    Excitation of oscillations in nonlinear systems under static feedback

  • Author

    Efimov, Denis V. ; Fradkov, Alexander L.

  • Author_Institution
    Control of Complex Syst. Lab., Inst. of Problem of Mech. Eng., St. Petersburg, Russia
  • Volume
    3
  • fYear
    2004
  • fDate
    14-17 Dec. 2004
  • Firstpage
    2521
  • Abstract
    New conditions for oscillatority of a system in the sense of Yakubovich (1973) are proposed. These conditions are applicable to nonlinear systems decomposed into two nonlinear parts. Upper and lower bounds for oscillation amplitude are obtained. The relation between the oscillatority bounds and excitability indices for the systems with the input are established. An example illustrating the proposed results by computer simulation is given.
  • Keywords
    control system analysis; feedback; nonlinear dynamical systems; excitability indices; nonlinear systems; oscillation amplitude; oscillation excitation; oscillatory bounds; static feedback; Chaos; Computer simulation; Control system synthesis; Control systems; Design methodology; Feedback; Motion control; Nonlinear control systems; Nonlinear systems; Stability analysis;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2004. CDC. 43rd IEEE Conference on
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-8682-5
  • Type

    conf

  • DOI
    10.1109/CDC.2004.1428818
  • Filename
    1428818