• DocumentCode
    798299
  • Title

    Numerical computation of root loci using the Newton-Raphson technique

  • Author

    Ash, Raymond H. ; Ash, Gerald R.

  • Author_Institution
    Rensselaer Polytechnic Institute, Troy, NY, USA
  • Volume
    13
  • Issue
    5
  • fYear
    1968
  • fDate
    10/1/1968 12:00:00 AM
  • Firstpage
    576
  • Lastpage
    582
  • Abstract
    An algorithm is described which employs the method of Newton-Raphson iteration in order to compute the root loci of a linear system. The technique differs widely in several aspects from those previously reported, and thereby significant gains in speed, accuracy, and versatility have been achieved. A FORTRAN program which utilizes the algorithm has been written, and some of its features are pointed out. An example of the use of this program is given.
  • Keywords
    Linear systems; Newton-Raphson methods; Poles and zeros; Ash; Delay effects; Feedback; Linear systems; Manuals; Poles and zeros; Polynomials; Search methods; Stability; Turning;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1968.1098980
  • Filename
    1098980