• DocumentCode
    829093
  • Title

    The propagation of parametric uncertainty via polytopes

  • Author

    Barmish, B. Ross ; Sankaran, Jaishankar

  • Author_Institution
    University of Rochester, Rochester, NY, USA
  • Volume
    24
  • Issue
    2
  • fYear
    1979
  • fDate
    4/1/1979 12:00:00 AM
  • Firstpage
    346
  • Lastpage
    349
  • Abstract
    We consider the discrete dynamical system x(k+1)= A(k)x(k) with n2independently varying uncertainties in the entries of A (\\cdot) . Although the set of possible states X(k) at time k is not necessarily convex, we show that the convex hull of this set can be recursively propagated forward in time.
  • Keywords
    Linear systems, time-varying discrete-time; Uncertain systems; Additive noise; Jacobian matrices; Leg; Linear systems; Open loop systems; Optimal control; Random variables; Stochastic resonance; Stochastic systems; Uncertainty;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1979.1102011
  • Filename
    1102011