• DocumentCode
    843524
  • Title

    Stability of an exponentially stabilizable system

  • Author

    Levan, N.

  • Author_Institution
    University of California, Los Angeles, CA, USA
  • Volume
    29
  • Issue
    10
  • fYear
    1984
  • fDate
    10/1/1984 12:00:00 AM
  • Firstpage
    939
  • Lastpage
    941
  • Abstract
    Let A be the generator of a C0semigroup T(t), t \\geq 0 , and denote by S(t), t \\geq 0 , the semigroup generated by A - K , where K is a bounded linear operator on a Hilbert space. In this note we find necessary and sufficient conditions for the original semigroup T(t), t \\geq 0 , to be exponentially stable, given that the "feedback" semigroup S(t), t \\geq 0 , is exponentially stable. Applications to feedback stabilization via a steady-state Riccati equation will then be made.
  • Keywords
    Stability, linear systems; Feedback control; Hilbert space; Milling machines; Riccati equations; Stability; State feedback; Steady-state; Sufficient conditions;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1984.1103403
  • Filename
    1103403
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=843524