• DocumentCode
    837310
  • Title

    Realization and reduction of Markovian models from nonstationary data

  • Author

    Baram, Yoram

  • Author_Institution
    Tel-Aviv University, Tel-Aviv, Isreal
  • Volume
    26
  • Issue
    6
  • fYear
    1981
  • fDate
    12/1/1981 12:00:00 AM
  • Firstpage
    1225
  • Lastpage
    1231
  • Abstract
    The realization of Markovian models for nonstationary processes generated by time invariant linear systems is considered. A model is obtained by constructing an orthogonal finite-step predictor for the process. Optimal model approximation by order reduction is naturally defined in this framework. The construction and reduction of Markovian models from multiple data records and the numerical considerations involved are illustrated by examples.
  • Keywords
    Linear systems, stochastic; Markov processes; Nonstationary stochastic processes; Realization theory; Stochastic systems, linear; Helium; Linear systems; Observability; Predictive models; Singular value decomposition; Stochastic processes; Stochastic resonance; Time invariant systems; Time varying systems; White noise;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1981.1102811
  • Filename
    1102811