• DocumentCode
    835651
  • Title

    Comments on Šiljak´s conjecture

  • Author

    Mori, Takehiro ; Kuwahara, Michiyoshi

  • Author_Institution
    Kyoto University, Kyoto, Japan
  • Volume
    26
  • Issue
    2
  • fYear
    1981
  • fDate
    4/1/1981 12:00:00 AM
  • Firstpage
    609
  • Lastpage
    611
  • Abstract
    Some comments are presented on Siljak´s conjecture concerning the existence of the positive definite symmetric solution with nonnegative elements of the matrix Lyapunov equation. Namely, the validity of the conjecture is proved in the case of order two and some matrix classes which support the conjecture are shown in the general case by constructing the solution directly.
  • Keywords
    Lyapunov matrix equations; Chemical analysis; Chemical elements; Counting circuits; Ecosystems; Equations; Filtering; Large-scale systems; Stability analysis; State-space methods; Symmetric matrices;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1981.1102651
  • Filename
    1102651
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=835651