• DocumentCode
    229292
  • Title

    Asymptotic behavior of nonlinear non-autonomous mechanical systems with two-component homogeneous potential forces

  • Author

    Fadeev, Sergey S.

  • Author_Institution
    St.-Petersburg State Univ., St. Petersburg, Russia
  • fYear
    2014
  • fDate
    June 30 2014-July 4 2014
  • Firstpage
    50
  • Lastpage
    51
  • Abstract
    Nonlinear non-autonomous mechanical systems with two-component homogeneous potential forces are considered. Based on method of Lyapunov functions there were proved several theorems that provide asymptotic stability and ultimate boundedness of solutions of system under variety of conditions. MATLAB computing environment was used to numerically estimate some of the obtained results.
  • Keywords
    Lyapunov methods; asymptotic stability; differential equations; force control; Lyapunov functions; asymptotic stability; differential equations; force control; nonlinear nonautonomous mechanical systems; numerical analysis; two-component homogeneous potential forces; Asymptotic stability; Educational institutions; Kinetic energy; Lyapunov methods; Mechanical systems; Symmetric matrices; Vectors;
  • 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.2014.6893270
  • Filename
    6893270