• DocumentCode
    835162
  • Title

    Efficient multivariable frequency response computations

  • Author

    Laub, Alan J.

  • Author_Institution
    University of Southern California, Los Angeles, CA, USA
  • Volume
    26
  • Issue
    2
  • fYear
    1981
  • fDate
    4/1/1981 12:00:00 AM
  • Firstpage
    407
  • Lastpage
    408
  • Abstract
    An efficient algorithm is presented for the reliable computation of frequency response matrices of the form P(j\\omega I-A)^{-1}Q . Efficiency is achieved through an initial reduction of A to upper Hessenberg form H so that ( j\\omega I-H ) remains upper Hessenberg as ω is varied over a desired range. Linear systems with upper Hessenberg coefficient matrices can then be solved easily and accurately.
  • Keywords
    Linear systems; Matrices; Multivariable systems; Feedback; Frequency response; Linear systems; MIMO;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1981.1102602
  • Filename
    1102602