• DocumentCode
    801912
  • Title

    Explicit inversion of the Laplace transform by a Jacobi-Gauss quadrature approximation

  • Author

    Carr, Harriet ; Cook, G.

  • Author_Institution
    Vanderbilt University, Nashville, TN, USA
  • Volume
    14
  • Issue
    6
  • fYear
    1969
  • fDate
    12/1/1969 12:00:00 AM
  • Firstpage
    777
  • Lastpage
    779
  • Abstract
    The method of explicit inversion of the Laplace transform equation previously developed is extended by the use of a Jacobi-Gauss quadrature formula The step response of a second-order system is approximated, and time-domain data are obtained by using the inverse matrix.
  • Keywords
    Approximation methods; Laplace transforms; Automatic control; Character generation; Control systems; Jacobian matrices; Laplace equations; Linear systems; Parameter estimation; Polynomials; Time domain analysis; Time factors;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1969.1099331
  • Filename
    1099331