• DocumentCode
    1870291
  • Title

    On the Boundaries of Basins of Attraction in Piecewise Smooth Systems

  • Author

    Colombo, Alessandro ; Galvanetto, Ugo

  • Author_Institution
    Dept. of Electron. & Inf., Politec. di Milano, Milan, Italy
  • fYear
    2010
  • fDate
    22-24 Feb. 2010
  • Firstpage
    100
  • Lastpage
    102
  • Abstract
    Multistability, or coexistence of multiple attractors, is a common and potentially dangerous property of all but the most trivial engineering systems. This paper discusses a numerical method for the analysis of basins of attractions in systems that, due to the presence of friction, switches, or other intrinsic discontinuities, are described by discontinuous differential equations.
  • Keywords
    differential equations; friction; mechanical engineering; mechanical stability; systems engineering; a numerical analysis; basins of attractions; discontinuous differential equations; engineering systems; friction; intrinsic discontinuities; multistability; piecewise smooth systems; Design engineering; Differential equations; Friction; Geometry; Oscillators; Robustness; State-space methods; Switches; Systems engineering and theory; Transportation; discontinuous; dynamical system; friction oscillator; numerical method; piecewise smooth;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Complexity in Engineering, 2010. COMPENG '10.
  • Conference_Location
    Rome
  • Print_ISBN
    978-1-4244-5982-7
  • Type

    conf

  • DOI
    10.1109/COMPENG.2010.41
  • Filename
    5432897