• DocumentCode
    894686
  • Title

    Robust stability of two-time-scale systems with nonlinear uncertainties

  • Author

    Shao, Z.H.

  • Author_Institution
    Ibiden USA Corp., Torrance, CA, USA
  • Volume
    49
  • Issue
    2
  • fYear
    2004
  • Firstpage
    258
  • Lastpage
    261
  • Abstract
    This note is concerned with the robust stability problem of uncertain two-time-scale systems, where the only information available for system uncertainties is their norm upper bounds. The stability bound ε* is derived via a state transformation and the constructive use of a Lyapunov function. Finally, examples are given to illustrate the applications of the proposed results.
  • Keywords
    control nonlinearities; matrix decomposition; sampled data systems; singularly perturbed systems; stability; uncertain systems; Lyapunov function; nonlinear uncertainties; norm upper bounds; robust stability; singularly perturbed systems; stability bound; state transformation; two-time-scale systems; Asymptotic stability; Eigenvalues and eigenfunctions; Lyapunov method; Nonlinear dynamical systems; Reduced order systems; Robust stability; Stability analysis; Uncertainty; Upper bound; Vectors;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2003.822839
  • Filename
    1266783
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=894686