• DocumentCode
    933457
  • Title

    Dissipativity of T-Periodic Linear Systems

  • Author

    Yakubovich, Vladimir A. ; Fradkov, Alexander L. ; Hill, David J. ; Proskurnikov, Anton V.

  • Author_Institution
    St. Petersburg State Univ., St. Petersburg
  • Volume
    52
  • Issue
    6
  • fYear
    2007
  • fDate
    6/1/2007 12:00:00 AM
  • Firstpage
    1039
  • Lastpage
    1047
  • Abstract
    It is proved that the existence of a positive-definite storage function is necessary and sufficient for strict dissipativity of linear systems with periodic coefficients. The connection between strict dissipativity of the system and a nonoscillatory property of an associated Hamiltonian system is established.
  • Keywords
    linear systems; periodic control; T-periodic linear systems dissipativity; associated Hamiltonian system; positive-definite storage function; Constraint optimization; Cybernetics; Design optimization; Helium; Linear systems; Lyapunov method; Stability analysis; Stability criteria; Sufficient conditions; Uncertain systems; Dissipativity; Hamiltonian systems; linear periodic systems;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2007.899013
  • Filename
    4237325
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=933457