• DocumentCode
    3167982
  • Title

    Split-hyperbolicity in studying dynamical systems with hysteresis

  • Author

    Appelbe, B. ; McNamara, Hugh ; Rasskazov, O.

  • Author_Institution
    Univ. Coll. Cork, Cork
  • fYear
    2007
  • fDate
    9-13 July 2007
  • Firstpage
    4303
  • Lastpage
    4308
  • Abstract
    Split-hyperbolicity was offered by A. Pokrovskii as an extension of the notions of "unsual" hyperbolicity for non-smooth maps. The nature of this concept makes it very useful in the study of systems with hysteresis. In this article we would like to survey recent results on split-hyperbolicity theory, and to outline its applications to the stabilisation of unstable orbits.
  • Keywords
    control system analysis; multidimensional systems; time-varying systems; dynamical systems; finite-dimensional dynamical systems; hysteresis; split-hyperbolicity; Chaos; Cities and towns; Control systems; Extraterrestrial measurements; Hysteresis; Orbits; Shadow mapping; Structural engineering; Transducers;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference, 2007. ACC '07
  • Conference_Location
    New York, NY
  • ISSN
    0743-1619
  • Print_ISBN
    1-4244-0988-8
  • Electronic_ISBN
    0743-1619
  • Type

    conf

  • DOI
    10.1109/ACC.2007.4282675
  • Filename
    4282675
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3167982