• DocumentCode
    1751593
  • Title

    Towards an algorithmic theory of robustness

  • Author

    Mesbahi, Mehran

  • Author_Institution
    Dept. of Aerosp. Eng. & Mech., Minnesota Univ., Minneapolis, MN, USA
  • Volume
    5
  • fYear
    2001
  • fDate
    2001
  • Firstpage
    3397
  • Abstract
    Let Σ be the set of stable linear time invariant autonomous systems, equipped with a stability robustness measure ρ. Let 𝒯 𝒜 be the measure of the computational efficiency of the algorithm 𝒜that verifies the stability of the elements of Σ. We demonstrate the existence of a natural robustness measure ρ, algorithm 𝒜, and a monotonically increasing function h, such that for all stable 𝒮∈Σ
  • Keywords
    linear systems; robust control; stability; time-varying systems; computational efficiency; monotonically increasing function; natural robustness measure; stability robustness measure; stable linear time invariant autonomous systems; Asymptotic stability; Eigenvalues and eigenfunctions; Linear matrix inequalities; Mechanical variables measurement; Robust control; Robust stability; Robustness; Symmetric matrices; Time measurement; Tin;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference, 2001. Proceedings of the 2001
  • Conference_Location
    Arlington, VA
  • ISSN
    0743-1619
  • Print_ISBN
    0-7803-6495-3
  • Type

    conf

  • DOI
    10.1109/ACC.2001.946155
  • Filename
    946155
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1751593