• DocumentCode
    3090830
  • Title

    The feedback action on quadratic forms

  • Author

    Svobodny, T.P.

  • Author_Institution
    Virginia Polytechnical Inst. & State U., Blacksburg, VA
  • Volume
    26
  • fYear
    1987
  • fDate
    9-11 Dec. 1987
  • Firstpage
    2123
  • Lastpage
    2124
  • Abstract
    We consider the effect of linear state feedback on the sign of the quadratic form given by the system matrix. In the 2-dimensional case a simple computable criterion is derived. The problem that we consider is the following. Given a linear control system x = Ax + Bu, (1) can we choose a feedback law u = Kx that will make the quadratic form determined by A, = negative definite?
  • Keywords
    Argon; Differential equations; Eigenvalues and eigenfunctions; Feedback; Stability; Symmetric matrices;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1987. 26th IEEE Conference on
  • Conference_Location
    Los Angeles, California, USA
  • Type

    conf

  • DOI
    10.1109/CDC.1987.272932
  • Filename
    4049676
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3090830