• DocumentCode
    1007138
  • Title

    Upper and lower bounds of Gramian for a class of perturbed linear systems

  • Author

    Auba, T. ; Funahashi, Y.

  • Author_Institution
    Dept. of Mech. Eng., Nagoya Inst. of Technol., Japan
  • Volume
    37
  • Issue
    10
  • fYear
    1992
  • fDate
    10/1/1992 12:00:00 AM
  • Firstpage
    1659
  • Lastpage
    1661
  • Abstract
    A bound on the system Gramian under perturbations of an A-matrix in the state space representation is derived. For a class of perturbations, both upper and lower bounds are obtained by solving algebraic Riccati equations
  • Keywords
    control system analysis; linear systems; matrix algebra; state-space methods; A-matrix; Gramian; algebraic Riccati equations; lower bounds; perturbations; perturbed linear systems; state space representation; Eigenvalues and eigenfunctions; Linear matrix inequalities; Linear systems; Mechanical engineering; Riccati equations; Space technology; State-space methods; Uncertainty; Upper bound;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.256407
  • Filename
    256407
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1007138