• DocumentCode
    2938019
  • Title

    Stability analysis on manifolds via continuous positive definite proper functions

  • Author

    Nakamura, Nami ; Nakamura, Hisakazu

  • Author_Institution
    Dept. of Electr. Eng., Tokyo Univ. of Sci., Noda, Japan
  • fYear
    2012
  • fDate
    3-6 July 2012
  • Firstpage
    404
  • Lastpage
    409
  • Abstract
    In this paper, we define Lagrange stability and input-to-state stability on manifolds. Furthermore, we present necessary and sufficient conditions for stability by using continuous positive definite proper functions.
  • Keywords
    continuous systems; manifolds; stability; Lagrange stability; continuous positive definite proper functions; input-to-state stability; manifolds; Asymptotic stability; Automation; Level set; Lyapunov methods; Manifolds; Measurement; Stability analysis;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control & Automation (MED), 2012 20th Mediterranean Conference on
  • Conference_Location
    Barcelona
  • Print_ISBN
    978-1-4673-2530-1
  • Electronic_ISBN
    978-1-4673-2529-5
  • Type

    conf

  • DOI
    10.1109/MED.2012.6265671
  • Filename
    6265671