• DocumentCode
    754778
  • Title

    Balanced realization of stable transfer function matrices

  • Author

    Therapos, Constantine P.

  • Author_Institution
    Nat. Tech. Univ. of Athens, Greece
  • Volume
    37
  • Issue
    2
  • fYear
    1992
  • fDate
    2/1/1992 12:00:00 AM
  • Firstpage
    281
  • Lastpage
    285
  • Abstract
    Simple formulas are presented to compute the internally balanced minimal realization and the singular decomposition of the Hankel operator of a given continuous-time p×m stable transfer function matrix E(s)/d(s). The proposed formulas involve the Schwarz numbers of d(s) and the singular eigenvalues-eigenmatrices of a suitable finite matrix. Similar results are also obtained for a given discrete-time transfer function matrix
  • Keywords
    eigenvalues and eigenfunctions; matrix algebra; transfer functions; Hankel operator; Schwarz numbers; continuous-time p×m stable transfer function matrix; discrete-time transfer function matrix; internally balanced minimal realization; singular decomposition; singular eigenvalues-eigenmatrices; Automatic control; Control systems; Differential algebraic equations; Kalman filters; Linear systems; Matrix decomposition; Optimal control; Perturbation methods; Riccati equations; Transfer functions;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.121637
  • Filename
    121637
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=754778