• DocumentCode
    850889
  • Title

    Frequency domain results for systems with multiple time scales

  • Author

    Luse, D.William

  • Author_Institution
    Virginia Polytechnic Insitute and State University, Blacksburg, VA, USA
  • Volume
    31
  • Issue
    10
  • fYear
    1986
  • fDate
    10/1/1986 12:00:00 AM
  • Firstpage
    918
  • Lastpage
    924
  • Abstract
    The mathematical treatment of systems with multiple time scales has traditionally employed the use of singular perturbation theory for differential equations. This paper treats such systems from a frequency-domain viewpoint. Previously existing two-frequency-scale results, involving approximation and algebraic characterization, are extended. In addition, an exact frequency-scale decomposition is presented.
  • Keywords
    Perturbation methods; Transfer function matrices; Control system analysis; Control systems; Differential equations; Electric variables control; Frequency domain analysis; Matrix decomposition; Physics computing; Polynomials;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1986.1104129
  • Filename
    1104129
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=850889