• DocumentCode
    799782
  • Title

    Generation of Liapunov functions for time-varying nonlinear systems

  • Author

    Wall, E.

  • Author_Institution
    University of Colorado, Denver, CO, USA
  • Volume
    14
  • Issue
    2
  • fYear
    1969
  • fDate
    4/1/1969 12:00:00 AM
  • Firstpage
    211
  • Lastpage
    211
  • Abstract
    A procedure for the generation of Liapunov functions for time-varying nonlinear systems is described. A composite differential one-form is derived from the basic system equations. A line integral of the one-form, with t held constant, produces the candidate for a Liapunov function. An example is included.
  • Keywords
    Lyapunov functions; Differential equations; Integral equations; Linear systems; Nonlinear equations; Nonlinear systems; Stability; State-space methods; Sufficient conditions; Time varying systems;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1969.1099127
  • Filename
    1099127
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=799782