• DocumentCode
    839233
  • Title

    Response bounds for asymptotically stable time-invariant linear dynamical systems

  • Author

    Nicholson, David W.

  • Author_Institution
    Naval Surface Weapons Center, White Oak, Silver Spring, MD, USA
  • Volume
    27
  • Issue
    3
  • fYear
    1982
  • fDate
    6/1/1982 12:00:00 AM
  • Firstpage
    704
  • Lastpage
    706
  • Abstract
    A theorem of Strang [1] is extended to provide the best possible lower eigenvalue bound for a certain positive semidefinite matrix. The results are then applied to several asymptotically stable time-invariant linear systems. Some cases in which the bounds become infinite are discussed.
  • Keywords
    Asymptotic stability, linear systems; Damping; Eigenvalues and eigenfunctions; Frequency; Linear systems; Mechanical systems; Protection; Singular value decomposition; Springs; US Government; Weapons;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1982.1102993
  • Filename
    1102993