• DocumentCode
    983693
  • Title

    Combined sequence of Markov parameters and moments in linear systems

  • Author

    Jonckheere, Edmund ; Ma, Chingwo

  • Author_Institution
    Dept. of Electr. Eng.-Syst., Univ. of Southern California, Los Angeles, CA, USA
  • Volume
    34
  • Issue
    3
  • fYear
    1989
  • fDate
    3/1/1989 12:00:00 AM
  • Firstpage
    379
  • Lastpage
    382
  • Abstract
    The combined sequence of Markov parameters and moments in linear systems is discussed. This sequence is shown to be generated by a linear feedback shift register. Application to the minimal degree partial realization from a mixture of any number of Markov parameters and moments is considered. Central in this particular realization problem is the extension of a Toeplitz partial behavior matrix. This is accomplished on the basis of the algebraic theory of Iohvidov indexes for Toeplitz matrices.<>
  • Keywords
    Markov processes; linear systems; matrix algebra; Iohvidov indexes; Markov moments; Markov parameters; Toeplitz matrices; linear feedback shift register; linear systems; matrix algebra; Convergence; Delay; Equations; Hydrogen; Kalman filters; Linear feedback shift registers; Linear systems; Polynomials; Power generation; Transfer functions;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.16440
  • Filename
    16440