• DocumentCode
    1292879
  • Title

    Rational function matrices and structural controllability and observability

  • Author

    Lu, K.S. ; Wei, J.N.

  • Author_Institution
    Dept. of Power Eng., Wuhan Univ. of Water Transp. Eng., China
  • Volume
    138
  • Issue
    4
  • fYear
    1991
  • fDate
    7/1/1991 12:00:00 AM
  • Firstpage
    388
  • Lastpage
    394
  • Abstract
    A matrix is said to be a rational function matrix (RFM) if each entry in the matrix is a rational function of independent parameters with real coefficients. A linear time-invariant system is said to be a rational function system (RFS) if each of its coefficient matrices is a RFM. The Lebesque measure of the set of points in the parameter space of a RFS is introduced to define structural controllability and observability (SC-SO) of the RFS. Some criteria for SC-SO of the RFS are proven and some illustrative examples given
  • Keywords
    controllability; matrix algebra; observability; Lebesque measure; linear time-invariant system; rational function matrix; structural controllability; structural observability;
  • fLanguage
    English
  • Journal_Title
    Control Theory and Applications, IEE Proceedings D
  • Publisher
    iet
  • ISSN
    0143-7054
  • Type

    jour

  • Filename
    81885