• DocumentCode
    826781
  • Title

    Canonical forms for bilinear input/output maps

  • Author

    Pearlman, Joseph G.

  • Author_Institution
    Rothamsted Experimental Station, Harpenden, England
  • Volume
    23
  • Issue
    4
  • fYear
    1978
  • fDate
    8/1/1978 12:00:00 AM
  • Firstpage
    595
  • Lastpage
    602
  • Abstract
    In an earlier paper [1], necessary and sufficient conditions were obtained for a state-space realization of a bilinear inout/output map to be quasi-reachable and observable, and procedures were introduced for reducing any realization not of this type to one which is. In rids paper, it is shown that any two such quasi-reachable and observable (or canonical) realizations are isomorphic, and using this result, it is possible to generate canonical forms for these realizations by means of complete sets of independent invariants.
  • Keywords
    Bilinear systems, discrete-time; Equations; Helium; Kalman filters; Kernel; Nonlinear systems; Observability; Stability; Statistical distributions; Sufficient conditions; Transfer functions;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1978.1101786
  • Filename
    1101786
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=826781