• DocumentCode
    337035
  • Title

    Averaging theory for functional differential equations

  • Author

    Lehman, Brad ; Weibel, Steven P.

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Northeastern Univ., Boston, MA, USA
  • Volume
    2
  • fYear
    1998
  • fDate
    16-18 Dec 1998
  • Firstpage
    1352
  • Abstract
    Previous work by the authors (1997, 1998) has established new averaged models for time-dependent functional differential equations (FDE). In this paper,we present new theorems extending the existing theory to infinite time intervals and a more general class of FDE. Improvements over the classical theory are illustrated in simulations
  • Keywords
    control system analysis; differential equations; functional equations; stability; FDE; averaging theory; infinite time intervals; stability analysis; time-dependent functional differential equations; Analytical models; Collision mitigation; Control design; Control system synthesis; Delay; Differential equations; Marine vehicles; Numerical simulation; Stability analysis; Systems engineering and theory;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1998. Proceedings of the 37th IEEE Conference on
  • Conference_Location
    Tampa, FL
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-4394-8
  • Type

    conf

  • DOI
    10.1109/CDC.1998.758473
  • Filename
    758473