• DocumentCode
    837772
  • Title

    On the existence of positive diagonal P such that PA + A^{T}P < 0

  • Author

    Khalil, Hassan K.

  • Author_Institution
    Michigan State University, East Lansing, MI, USA
  • Volume
    27
  • Issue
    1
  • fYear
    1982
  • fDate
    2/1/1982 12:00:00 AM
  • Firstpage
    181
  • Lastpage
    184
  • Abstract
    Given a real square matrix A we address the question: Does there exist a positive diagonal matrix P such that PA + A^{T}P is negative definite? We present an algorithm which when applied to A gives a definite yes or no answer to this question. If the answer is yes, the algorithm will provide one such P .
  • Keywords
    Bilinear systems; Discrete-time systems; Eigenvalues and eigenfunctions; Interconnected systems; Iterative algorithms; Linear programming; Lyapunov method; Minimax techniques; Stability; Sufficient conditions; Systems engineering and theory; Testing;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1982.1102855
  • Filename
    1102855
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=837772