• DocumentCode
    800401
  • Title

    A note on the matrix equation A´ LA-L = -K

  • Author

    Power, H.

  • Author_Institution
    University College, Dublin 2, Ireland
  • Volume
    14
  • Issue
    4
  • fYear
    1969
  • fDate
    8/1/1969 12:00:00 AM
  • Firstpage
    411
  • Lastpage
    412
  • Abstract
    Matrices Wiand N_{i}, which result from application of Krylov\´s algorithm to the matrices A and B related by A = (B + I)(B - I)^{-1}, are shown to be row equivalent, i.e., N_{i} = M_{i}W_{1} . This result is applied to solution of the Lyapunov matrix equation for discrete-time systems, A\´LA - L = -K .
  • Keywords
    Lyapunov matrix equations; Equations; Matrix converters; Stability; Transportation; Upper bound; Vehicles;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1969.1099187
  • Filename
    1099187
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=800401