• DocumentCode
    3118472
  • Title

    Pseudospectra for analytic matrix functions and application to time-delay systems

  • Author

    Michiels, Wim ; Green, Kirk ; Wagenknecht, Thomas ; Niculescu, Silviu-Iulian

  • fYear
    2005
  • fDate
    12-15 Dec. 2005
  • Firstpage
    4336
  • Lastpage
    4341
  • Abstract
    Definitions for pseudospectra of an analytic matrix function are given, where the structure of the function is exploited. Various perturbation measures are considered and computationally tractable formulae are derived. The results are applied to a class of retarded delay differential equations. Special properties of the pseudospectra of such equations are determined and illustrated.
  • Keywords
    Damping; Delay systems; Differential equations; Eigenvalues and eigenfunctions; H infinity control; Kirk field collapse effect; Particle measurements; Polynomials; Stability; Transient response;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on
  • Print_ISBN
    0-7803-9567-0
  • Type

    conf

  • DOI
    10.1109/CDC.2005.1582844
  • Filename
    1582844
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3118472