• DocumentCode
    1616670
  • Title

    Extensions of classical averaging techniques to delay differential equations

  • Author

    Lehman, Brad ; Kolmanovskii, Vladimir B.

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Mississippi State Univ., MS, USA
  • Volume
    1
  • fYear
    1994
  • Firstpage
    411
  • Abstract
    This paper extends the method of averaging due to Krylov and Bogoliubov (1947) and Bogoliubov and Mitropolskii (1961) to delay differential equations. Near identity change of variables are used to transform time varying delay differential equations into autonomous delay differential equations plus small perturbations. Then Lyapunov functionals are used to relate the autonomous averaged delay differential equation to the original time varying delay differential equation
  • Keywords
    Lyapunov methods; delays; differential equations; time-varying systems; Lyapunov functionals; autonomous averaged delay-differential equation; classical averaging techniques; small perturbations; time-varying delay-differential equation transformation; Adaptive control; Aging; Bifurcation; Delay effects; Differential equations; Mathematics; Stability analysis; Transforms; Vibration control;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on
  • Conference_Location
    Lake Buena Vista, FL
  • Print_ISBN
    0-7803-1968-0
  • Type

    conf

  • DOI
    10.1109/CDC.1994.410893
  • Filename
    410893
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1616670