• DocumentCode
    3164806
  • Title

    The quotient SVD and directional aspects of 2 transfer matrices

  • Author

    David, Johan ; De Moor, Bart

  • Author_Institution
    Dept. of Electr. Eng., Katholieke Univ. Leuven, Belgium
  • fYear
    1992
  • fDate
    4-8 May 1992
  • Firstpage
    316
  • Lastpage
    321
  • Abstract
    Directional aspects of multiple-input-multiple-output systems relative to one another are studied. The quotient singular value decomposition (QSVD), a generalization of the SVD is used. The definition and some properties of the QSVD are stated. The concepts of the indicator ellipsoid and the oriented energy plot allow for a better visualization of the directional gain. The oriented signal-to-signal ratio, is introduced. It is shown that it can be computed by using the QSVD. Some applications in control are outlined.<>
  • Keywords
    control theory; matrix algebra; numerical analysis; control; directional gain; indicator ellipsoid; multiple-input-multiple-output systems; oriented energy plot; oriented signal-to-signal ratio; quotient singular value decomposition; transfer matrices; Ellipsoids; Frequency; MIMO; Matrix decomposition; Singular value decomposition; Visualization;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    CompEuro '92 . 'Computer Systems and Software Engineering',Proceedings.
  • Conference_Location
    The Hague, Netherlands
  • Print_ISBN
    0-8186-2760-3
  • Type

    conf

  • DOI
    10.1109/CMPEUR.1992.218414
  • Filename
    218414