• DocumentCode
    1249134
  • Title

    Exact filters for certain moments and stochastic integrals of the state of systems with Benes nonlinearity

  • Author

    Elliott, Robert J. ; Krishnamurthy, Vikram ; Poor, H. Vincent

  • Author_Institution
    Dept. of Math. Sci., Alberta Univ., Edmonton, Alta., Canada
  • Volume
    44
  • Issue
    10
  • fYear
    1999
  • fDate
    10/1/1999 12:00:00 AM
  • Firstpage
    1929
  • Lastpage
    1933
  • Abstract
    Finite-dimensional filters for integrals and stochastic integrals of moments of the state for continuous-time nonlinear systems with Benes nonlinearity are derived. These filters can be used with the expectation maximization algorithm to compute maximum likelihood estimates of the model parameters
  • Keywords
    continuous time systems; control nonlinearities; filtering theory; integral equations; maximum likelihood estimation; nonlinear control systems; Benes nonlinearity; continuous-time nonlinear systems; exact filters; expectation maximization algorithm; finite-dimensional filters; stochastic integrals; Hidden Markov models; Information processing; Maximum likelihood estimation; Nonlinear filters; Nonlinear systems; Parameter estimation; Signal processing; State estimation; Statistics; Stochastic systems;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.793739
  • Filename
    793739