• DocumentCode
    1126200
  • Title

    New approach to block-diagonalization of singularly perturbed systems by Taylor expansion

  • Author

    Derbel, Nabil ; Kamoun, Mohamed B A ; Poloujadoff, Michel

  • Author_Institution
    Lab. d´´Electrotech. et d´´Autom., Ecole Nat. des Ingenieurs de Sfax, Tunisia
  • Volume
    39
  • Issue
    7
  • fYear
    1994
  • fDate
    7/1/1994 12:00:00 AM
  • Firstpage
    1429
  • Lastpage
    1431
  • Abstract
    Block-diagonalization of a singularly perturbed system requires the solution of the Riccati equation and the Lyapunov equation. A new approach is suggested for both equations, using Taylor expansions. The convergence is studied in detail; it is shown that it is ensured under restrictions which are less restrictive than the case of previously suggested methods
  • Keywords
    Lyapunov methods; convergence; matrix algebra; perturbation techniques; Lyapunov equation; Riccati equation; Taylor expansion; block-diagonalization; singularly perturbed systems; Calculus; Differential equations; Newton method; Proposals; Riccati equations; Taylor series;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.299626
  • Filename
    299626
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1126200