• DocumentCode
    3537237
  • Title

    Some properties of generalized inverse of non-square systems

  • Author

    Shenpeng Li ; Jingxin Zhang

  • Author_Institution
    Dept. of Electr. & Comput. Syst. Eng., Monash Univ., Clayton, VIC, Australia
  • fYear
    2013
  • fDate
    10-13 Dec. 2013
  • Firstpage
    6446
  • Lastpage
    6451
  • Abstract
    Generalized inverse of non-square MIMO system arise from many application problems. This paper investigates some fundamental properties of the generalized inverse. These include the necessary and sufficient conditions for the minimum H2 norm inverse, the minimality of the H2 norms for the rows/columns of the inverse, and the redundancy and design freedom associated with the rows/columns of the generalized inverse. An application to MIMO communication system is presented to demonstrate the usefulness and potential of these properties.
  • Keywords
    H2 control; MIMO systems; control system synthesis; redundancy; H2 norm inverse; H2 norms minimality; MIMO communication system; design freedom; generalized inverse; necessary conditions; nonsquare MIMO system; redundancy; sufficient conditions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on
  • Conference_Location
    Firenze
  • ISSN
    0743-1546
  • Print_ISBN
    978-1-4673-5714-2
  • Type

    conf

  • DOI
    10.1109/CDC.2013.6760909
  • Filename
    6760909
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3537237