• DocumentCode
    1123829
  • Title

    A robust solver using a continuation method for Nevanlinna-Pick interpolation with degree constraint

  • Author

    Nagamune, Ryozo

  • Author_Institution
    Div. of Optimization & Syst. Theor., R. Inst. of Technol., Stockholm, Sweden
  • Volume
    48
  • Issue
    1
  • fYear
    2003
  • fDate
    1/1/2003 12:00:00 AM
  • Firstpage
    113
  • Lastpage
    117
  • Abstract
    This note modifies a previous algorithm for solving a certain convex optimization problem, introduced by Byrnes, Georgiou, and Lindquist, to determine any Nevanlinna-Pick interpolant satisfying degree constraint. The modified algorithm is based on a continuation method with predictor-corrector steps and it turns out to be quite efficient and numerically robust.
  • Keywords
    convex programming; interpolation; predictor-corrector methods; Nevanlinna-Pick interpolant; continuation method; convex optimization; degree constraint; predictor-corrector steps; robust solver; Asymptotic stability; Control systems; Control theory; Equations; Interpolation; Robustness; Stability criteria;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2002.806662
  • Filename
    1166531