• DocumentCode
    3367162
  • Title

    A regularity result for the singular values of a transfer matrix and a quadratically convergent algorithm for computing its L ∞-norm

  • Author

    Boyd, S. ; Balakrishnan, V.

  • Author_Institution
    Stanford Univ., CA, USA
  • fYear
    1989
  • fDate
    13-15 Dec 1989
  • Firstpage
    954
  • Abstract
    The ith singular value of a transfer matrix, σi(H(jω)), need not be a differential function of ω at frequencies where its multiplicity is greater than one. However, near a local maximum the largest singular value σ1(H(jω)) has a Lipschitz second derivative, but need not have a third derivative. On the basis of this regularity result, the authors obtain a quadratically convergent algorithm for computing the L∞-norm of a transfer matrix
  • Keywords
    convergence; matrix algebra; optimal control; transfer functions; L∞-norm; Lipschitz second derivative; local maximum; matrix algebra; optimal control; quadratically convergent algorithm; regularity; singular values; transfer matrix; Convergence; Frequency;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1989., Proceedings of the 28th IEEE Conference on
  • Conference_Location
    Tampa, FL
  • Type

    conf

  • DOI
    10.1109/CDC.1989.70267
  • Filename
    70267
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3367162