• DocumentCode
    913511
  • Title

    Lagrange stability and higher order derivatives of Liapunov functions

  • Author

    Heinen, James A. ; Vidyasagar, Mathukumalli

  • Author_Institution
    Marquette University, Milwaukee, Wis.
  • Volume
    58
  • Issue
    7
  • fYear
    1970
  • fDate
    7/1/1970 12:00:00 AM
  • Firstpage
    1174
  • Lastpage
    1174
  • Abstract
    It is shown that the Lagrange stability of an autonomous system can be determined on the basis of the existence of a Liapunov function and the satisfaction of a certain inequality involving its first three derivatives.
  • Keywords
    Asymptotic stability; Differential equations; Inductance; Lagrangian functions; Lead; Nonlinear equations; Resistors; Voltage;
  • fLanguage
    English
  • Journal_Title
    Proceedings of the IEEE
  • Publisher
    ieee
  • ISSN
    0018-9219
  • Type

    jour

  • DOI
    10.1109/PROC.1970.7890
  • Filename
    1449820
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=913511