• DocumentCode
    1265298
  • Title

    Asymptotic convergence from Lp stability

  • Author

    Teel, Andrew R.

  • Author_Institution
    Dept. of Electr. & Comput. Eng., California Univ., Santa Barbara, CA, USA
  • Volume
    44
  • Issue
    11
  • fYear
    1999
  • fDate
    11/1/1999 12:00:00 AM
  • Firstpage
    2169
  • Lastpage
    2170
  • Abstract
    This note recalls that an absolutely continuous function having a uniformly locally integrable (not necessarily essentially bounded) derivative is uniformly continuous on the semi-infinite interval. This observation, in conjunction with Barbalat´s lemma, allows concluding asymptotic convergence to zero of an output function for a general class of nonlinear systems with Lp (not necessarily L∞ ) disturbances
  • Keywords
    asymptotic stability; convergence; nonlinear control systems; Barbalat lemma; L∞ disturbances; Lp disturbances; Lp stability; absolutely continuous function; asymptotic convergence; nonlinear systems; semi-infinite interval; uniformly locally integrable derivative; Asymptotic stability; Automatic control; Convergence; Differential equations; Filters; Optimal control; Process control; Random processes; Stochastic processes; Systems engineering and theory;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.802938
  • Filename
    802938
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1265298