• DocumentCode
    1180828
  • Title

    Kronecker products and matrix calculus in system theory

  • Author

    Brewer, John W.

  • Volume
    25
  • Issue
    9
  • fYear
    1978
  • fDate
    9/1/1978 12:00:00 AM
  • Firstpage
    772
  • Lastpage
    781
  • Abstract
    The paper begins with a review of the algebras related to Kronecker products. These algebras have several applications in system theory including the analysis of stochastic steady state. The calculus of matrix valued functions of matrices is reviewed in the second part of the paper. This calculus is then used to develop an interesting new method for the identifiication of parameters of lnear time-invariant system models.
  • Keywords
    Algebra; Algebraic and geometric techniques; Linear systems, time-invariant continuous-time; Matrix functions; Parameter identification; Algebra; Calculus; Feedback; Helium; Matrices; Sensitivity analysis; Steady-state; Stochastic systems; Subspace constraints; Sufficient conditions;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0098-4094
  • Type

    jour

  • DOI
    10.1109/TCS.1978.1084534
  • Filename
    1084534