• DocumentCode
    839202
  • Title

    A solution of the unit circle problem via Schwarz canonical form

  • Author

    Datta, Biswa Nath

  • Author_Institution
    Northern Illinois University, De Kalb, IL, USA
  • Volume
    27
  • Issue
    3
  • fYear
    1982
  • fDate
    6/1/1982 12:00:00 AM
  • Firstpage
    698
  • Lastpage
    700
  • Abstract
    The unit circle problem is the problem of finding the number of eigenvalues of a matrix A inside and outside the unit circle. It is associated with stability analysis of the system x_{k+1} = Ax_{k} . An algorithm is developed in this paper to solve the problem via Schwarz canonical form.
  • Keywords
    Eigenvalues/eigenvectors; Matrices; Control systems; Eigenvalues and eigenfunctions; Integral equations; Matrix decomposition; Open loop systems; Riccati equations; Stability analysis;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1982.1102990
  • Filename
    1102990
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=839202