• DocumentCode
    2478466
  • Title

    Computing Hard Bounds for Probabilistic Robustness

  • Author

    Dabbene, F. ; Lagoa, C. ; Tempo, R.

  • Author_Institution
    IEIIT-CNR, Politecnico di Torino
  • fYear
    2006
  • fDate
    13-15 Dec. 2006
  • Firstpage
    3210
  • Lastpage
    3215
  • Abstract
    In this paper, the problem of estimating the probability of performance is addressed. In contrast to previous results in the area of probabilistic robustness, we present an algorithm providing "hard" deterministic upper and lower bounds on this probability. Emphasis is put on the probability of stability of polynomials whose coefficients are multiaffine functions of the uncertainty. The proposed algorithm is illustrated via numerical examples
  • Keywords
    computational complexity; polynomials; probability; robust control; uncertain systems; hard bounds; multiaffine functions; numerical examples; polynomials stability; probabilistic robustness; Poles and zeros; Polynomials; Random variables; Robust control; Robustness; Stability; USA Councils; Uncertain systems; Uncertainty;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2006 45th IEEE Conference on
  • Conference_Location
    San Diego, CA
  • Print_ISBN
    1-4244-0171-2
  • Type

    conf

  • DOI
    10.1109/CDC.2006.377320
  • Filename
    4177753