• DocumentCode
    802026
  • Title

    A recursive method for determining the Laplace transform of exp (At)

  • Author

    Hatsell, C.

  • Author_Institution
    Duke University, Durham, NC, USA
  • Volume
    15
  • Issue
    1
  • fYear
    1970
  • fDate
    2/1/1970 12:00:00 AM
  • Firstpage
    137
  • Lastpage
    139
  • Abstract
    A method for recursively determining the Laplace transform of the state transition matrix for a linear time-invariant system is presented. The method does not require matrix inversion, nor does the complexity of the operations involved increase with the dimensionality of the system. It is equally applicable to systems with distinct or multiple roots.
  • Keywords
    Laplace transforms; Linear time-invariant (LTI) systems; Automatic control; Computational Intelligence Society; Control system analysis; Control systems; Laplace equations;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1970.1099342
  • Filename
    1099342