• DocumentCode
    3784800
  • Title

    Set simulations for quadratic systems

  • Author

    G. Calafiore

  • Author_Institution
    Dipt. di Automatica e Informatica, Politecnico di Torino, Italy
  • Volume
    48
  • Issue
    5
  • fYear
    2003
  • Firstpage
    800
  • Lastpage
    805
  • Abstract
    In this paper, we study the problem of propagating in time a bounding set for the state of a class of nonlinear quadratic systems. The sequence of bounding sets is called the set simulation of the system, and conveys useful information about the stability and qualitative behavior of the possible time responses of the system. Numerically, efficient recursive algorithms are presented for the specific cases when the bounding sets are orthotopes or ellipsoids.
  • Keywords
    "Nonlinear systems","Ellipsoids","Linear systems","Stability","State-space methods","Nonlinear filters","Filtering","Stochastic systems","Stochastic resonance","Information analysis"
  • Journal_Title
    IEEE Transactions on Automatic Control
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2003.811257
  • Filename
    1198603
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3784800