• DocumentCode
    843807
  • Title

    Time scale decomposition of linear implicit singularly perturbed systems

  • Author

    Khalil, Hassan K.

  • Author_Institution
    Michigan State University, East Lansing, MI, USA
  • Volume
    29
  • Issue
    11
  • fYear
    1984
  • fDate
    11/1/1984 12:00:00 AM
  • Firstpage
    1054
  • Lastpage
    1056
  • Abstract
    An implicit singularly perturbed system \\dot{x} = A(\\epsilon)x , where A(0) is singular, is considered. This note presents an algorithm for decomposing the system into a set of isolated subsystems at different time scales. The decomposed form of the system is used to construct a uniform asymptotic approximation to \\exp (A(\\epsilon)t) .
  • Keywords
    Decoupling of systems, linear; Singularly perturbed systems, linear; Asymptotic stability; Control systems; Eigenvalues and eigenfunctions; Nonlinear systems; Null space; Perturbation methods;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1984.1103429
  • Filename
    1103429
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=843807