• DocumentCode
    391307
  • Title

    A perturbation approach to the stabilization of nonlinear cascade systems with time-delay

  • Author

    Michiels, W. ; Sepulchre, R. ; Roose, D. ; Moreau, L.

  • Author_Institution
    Dept. of Comput. Sci., Katholieke Univ., Leuven, Belgium
  • Volume
    2
  • fYear
    2002
  • fDate
    10-13 Dec. 2002
  • Firstpage
    1898
  • Abstract
    The effect of bounded input perturbations on the stability of nonlinear globally asymptotically stable delay differential equations is analyzed. We investigate under which conditions global stability is preserved and if not, whether semi-global stabilization is possible by controlling the size or shape of the perturbation. These results are used to study the stabilization of partially linear cascade systems with partial state feedback.
  • Keywords
    asymptotic stability; delays; eigenvalues and eigenfunctions; nonlinear differential equations; state feedback; bounded input perturbations; delay differential equations; nonlinear cascade systems; partial state feedback; partially linear cascade systems; perturbation approach; stabilization; time delay; Asymptotic stability; Control systems; Delay effects; Differential equations; H infinity control; Linear feedback control systems; Shape control; Size control; Stability analysis; State feedback;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-7516-5
  • Type

    conf

  • DOI
    10.1109/CDC.2002.1184803
  • Filename
    1184803