• DocumentCode
    229289
  • Title

    A group of invariant transformations in the stability problem via Lyapunov´s first method

  • Author

    Ermolin, Vladislav S. ; Vlasova, Tatyana V.

  • Author_Institution
    St. Petersburg State Univ., St. Petersburg, Russia
  • fYear
    2014
  • fDate
    June 30 2014-July 4 2014
  • Firstpage
    48
  • Lastpage
    49
  • Abstract
    A group of invariant transformations the same as Lyapunov transformations is described. They don´t change properties of correctness of differential equation systems and their characteristic numbers. It is shown that the Lyapunov transformations are a part of this group. Examples of invariant transformations different from the Lyapunov transformations are given.
  • Keywords
    Lyapunov methods; differential equations; invariance; stability; Lyapunov first method; Lyapunov transformation; characteristic number; differential equation system; invariant transformation; stability problem; Companies; Differential equations; Educational institutions; Electronic mail; Equations; Publishing;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computer Technologies in Physical and Engineering Applications (ICCTPEA), 2014 International Conference on
  • Conference_Location
    St. Petersburg
  • Print_ISBN
    978-1-4799-5315-8
  • Type

    conf

  • DOI
    10.1109/ICCTPEA.2014.6893269
  • Filename
    6893269