• DocumentCode
    807623
  • Title

    External and internal stability of linear systems--A new connection

  • Author

    Anderson, Brian

  • Author_Institution
    University of Newcastle, Newcastle, NSW, Australia
  • Volume
    17
  • Issue
    1
  • fYear
    1972
  • fDate
    2/1/1972 12:00:00 AM
  • Firstpage
    107
  • Lastpage
    111
  • Abstract
    Finite-dimensional linear systems are considered with the properties of uniform complete controllability and observability. It is shown that exponential asymptotic stability of the homogeneous part of the system is equivalent to the system mapping inputs with finite L2norm into outputs with finite L2norm.
  • Keywords
    Asymptotic stability; Input-output stability; Linear systems, time-varying continuous-time; Stability; Asymptotic stability; Controllability; Integral equations; Linear systems; Nonlinear systems; Observability;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1972.1099875
  • Filename
    1099875
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=807623