• DocumentCode
    592563
  • Title

    Lyapunov function for Levant´s Second Order Differentiator

  • Author

    Moreno, Jaime A.

  • Author_Institution
    Electr. y Comput., Univ. Nac. Autonoma de Mexico, Mexico City, Mexico
  • fYear
    2012
  • fDate
    10-13 Dec. 2012
  • Firstpage
    6448
  • Lastpage
    6453
  • Abstract
    In this paper we obtain a homogeneous, continuous, quadratic and strict Lyapunov function for Levant´s Second Order Differentiator. Since its derivative is a non quadratic, discontinuous, homogeneous form its negative definiteness is determined using some new inequalities, providing coarser bounds than Young´s inequalities.
  • Keywords
    Lyapunov methods; Levant second order differentiator; Lyapunov function; Young inequalities; coarser bounds; Convergence; Lyapunov methods; Mercury (metals); Noise; Robustness; Trajectory; Uncertainty;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control (CDC), 2012 IEEE 51st Annual Conference on
  • Conference_Location
    Maui, HI
  • ISSN
    0743-1546
  • Print_ISBN
    978-1-4673-2065-8
  • Electronic_ISBN
    0743-1546
  • Type

    conf

  • DOI
    10.1109/CDC.2012.6426877
  • Filename
    6426877
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=592563