• DocumentCode
    3074687
  • Title

    Computation of system balancing transformations

  • Author

    Laub, A.J. ; Heath, M. ; Paige, C.C. ; Ward, R.C.

  • Author_Institution
    University of California, Santa Barbara, CA
  • fYear
    1986
  • fDate
    10-12 Dec. 1986
  • Firstpage
    548
  • Lastpage
    553
  • Abstract
    An algorithm is presented in this paper for computing state space balancing transformations directly from a state space realization. The algorithm requires no "squaring up." Various algorithmic aspects are discussed in detail. Applications to numerous other closely-related problems are also mentioned. The key idea throughout involves determining a contragredient transformation through computing the singular value decomposition of a certain product of matrices without explicitly forming the product.
  • Keywords
    Chromium; Control theory; Controllability; Eigenvalues and eigenfunctions; Linear systems; Observability; Singular value decomposition; State-space methods; Time of arrival estimation; Vectors;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1986 25th IEEE Conference on
  • Conference_Location
    Athens, Greece
  • Type

    conf

  • DOI
    10.1109/CDC.1986.267343
  • Filename
    4048810
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3074687