• DocumentCode
    847562
  • Title

    The high-frequency Π-criterion for retarded systems

  • Author

    Colonius, Fritz

  • Author_Institution
    Brown University, Providence, RI, USA
  • Volume
    30
  • Issue
    10
  • fYear
    1985
  • fDate
    10/1/1985 12:00:00 AM
  • Firstpage
    1045
  • Lastpage
    1048
  • Abstract
    A test for local properness in optimal periodic control of functional differential (including delay differential) equations is proven. If it is satisfied, the performance near an optimal steady state can be improved by controls and trajectories of sufficiently high frequencies.
  • Keywords
    Delay systems, nonlinear; Periodic control, nonlinear systems; Control systems; Damping; Differential equations; Feedback; Frequency; Optimal control; Partial differential equations; Steady-state; Stochastic resonance; System testing;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1985.1103801
  • Filename
    1103801