• DocumentCode
    986416
  • Title

    The structure of all-pass matrices that satisfy directional interpolation requirements

  • Author

    Auba, T. ; Funahashi, Y.

  • Author_Institution
    Dept. of Mech. Eng., Nagoya Inst. of Technol., Japan
  • Volume
    36
  • Issue
    12
  • fYear
    1991
  • fDate
    12/1/1991 12:00:00 AM
  • Firstpage
    1485
  • Lastpage
    1489
  • Abstract
    All-pass matrices are considered which are permitted to have right-half plane (RHP) poles less than some specified number. This is an extension of the inner interpolation problem where no RHP poles are permitted. All-pass matrices which satisfy the directional interpolation requirements are obtained in closed form. The simple derivation provides an insight into the mechanism by which the interpolation requirements impose the ∞-norm restriction under the number condition of half plane poles
  • Keywords
    interpolation; matrix algebra; optimisation; ∞-norm optimisation; ∞-norm restriction; all-pass matrices; directional interpolation requirements; right-half plane poles; Automatic control; Control systems; Educational institutions; Feedback; Interpolation; Linear algebra; Linear systems; Matrices; Polynomials; Solvents;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.106167
  • Filename
    106167
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=986416