• DocumentCode
    1506654
  • Title

    Identification of invariants of (over)parameterized models: finite sample results

  • Author

    Pintelon, R. ; Schoukens, J. ; Vandersteen, G. ; Rolain, Y.

  • Author_Institution
    Dept. of ELEC, Vrije Univ., Brussels, Belgium
  • Volume
    44
  • Issue
    5
  • fYear
    1999
  • fDate
    5/1/1999 12:00:00 AM
  • Firstpage
    1073
  • Lastpage
    1077
  • Abstract
    This paper shows that a certain class of estimates of invariants of (over)parameterized models are with probability one independent of the particular (over)parameterization chosen. The result is nonasymptotic, and the estimators considered minimize a cost function that is invariant with respect to the same parameter transformation as the overparameterized model
  • Keywords
    identification; minimisation; cost function minimization; estimators; finite sample results; invariant identification; overparameterized model; overparameterized models; parameter transformation; Cost function; Distribution functions; MIMO; Poles and zeros; Polynomials; Transfer functions; Uncertainty;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.763232
  • Filename
    763232