• DocumentCode
    835923
  • Title

    Condition for existence of solutiuons of linear equations with arbitrary vectors and its relation to controllability

  • Author

    Yoshikawa, Tsuneo

  • Author_Institution
    Kyoto University, Kyoto, Japan
  • Volume
    26
  • Issue
    3
  • fYear
    1981
  • fDate
    6/1/1981 12:00:00 AM
  • Firstpage
    728
  • Lastpage
    730
  • Abstract
    Necessary and sufficient conditions are given for the existence of solutions for a class of linear equations with arbitrary constant vectors. It is shown that these conditions are useful for studying and unifying various concepts related to controllability of linear discrete-time systems. The result can be regarded as the dual to that of the partial uniqueness of solutions of linear equations.
  • Keywords
    Controllability, linear systems; Linear algebra; Vector spaces; Bismuth; Controllability; Equations; Erbium; Linear systems; Sufficient conditions; Vectors;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1981.1102680
  • Filename
    1102680