• DocumentCode
    918106
  • Title

    Further Results on Incremental Input-to-State Stability

  • Author

    Angeli, David

  • Author_Institution
    Dept. of Electr. & Electron. Eng., Imperial Coll. London, London
  • Volume
    54
  • Issue
    6
  • fYear
    2009
  • fDate
    6/1/2009 12:00:00 AM
  • Firstpage
    1386
  • Lastpage
    1391
  • Abstract
    Incremental stability notions defined by means of comparison functions in a state-space framework are further investigated. In particular, we provide a continuous converse Lyapunov theorem for incremental integral ISS and show that the incremental integral property is at least as strong as incremental ISS.
  • Keywords
    Lyapunov methods; stability; state-space methods; continuous converse Lyapunov theorem; incremental input-to-state stability; incremental integral ISS; incremental integral property; incremental stability; state-space framework; Asymptotic stability; H infinity control; Linear systems; Nonlinear control systems; Signal processing; Stability analysis; Terrorism; Time measurement; Uncertainty; Lyapunov Theorem;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2009.2015561
  • Filename
    4982644