• DocumentCode
    978607
  • Title

    Stability of multivariable least-squares models

  • Author

    Regalia, Phillip A. ; Stoica, Petre

  • Author_Institution
    Dept. Signal et Image, Inst. Nat. des Telecommun., Evry, France
  • Volume
    2
  • Issue
    10
  • fYear
    1995
  • Firstpage
    195
  • Lastpage
    196
  • Abstract
    Least-squares equation-error models are widely used as a simple means of estimating an input-output transfer function in a system identification context.. Although the models furnished by the least-squares method are not always stable, some recent works have shown that an autoregressive constraint on the input is sufficient to ensure stability of the furnished model. Here we provide a simple proof of this property for multivariable system estimation.<>
  • Keywords
    autoregressive processes; error analysis; estimation theory; identification; least mean squares methods; multivariable systems; numerical stability; transfer functions; autoregressive constraint; input-output transfer function; least-squares equation-error model; least-squares method; multivariable least-squares models; multivariable system estimation; stability; system identification; Autoregressive processes; Context modeling; Covariance matrix; Equations; MIMO; Polynomials; Stability; System identification; Transfer functions; White noise;
  • fLanguage
    English
  • Journal_Title
    Signal Processing Letters, IEEE
  • Publisher
    ieee
  • ISSN
    1070-9908
  • Type

    jour

  • DOI
    10.1109/97.466708
  • Filename
    466708