• DocumentCode
    2547019
  • Title

    Algebraic method for solving a class of quaternion algebraic Riccati equation

  • Author

    Ling, Sitao ; Jiang, Tongsong ; Cheng, Xuehan

  • Author_Institution
    Dept. of Math., China Univ. of Min. & Technol., Xuzhou, China
  • fYear
    2012
  • fDate
    29-31 May 2012
  • Firstpage
    2339
  • Lastpage
    2342
  • Abstract
    In this paper, by means of complex representation and Jordan canonical form, we change the problem for solving a quaternion algebraic Riccati equation to that of complex matrix equation, and provide an algebraic method for solving a class of quaternion algebraic Riccati equation.
  • Keywords
    Riccati equations; matrix algebra; nonlinear differential equations; Jordan canonical form; algebraic method; complex matrix equation; complex representation; quaternion algebraic Riccati equation; Eigenvalues and eigenfunctions; Quantum mechanics; Quaternions; Riccati equations; Vectors; Algebraic Riccati equation; Complex representation; Jordan canonical form; Quaternion matrix;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Fuzzy Systems and Knowledge Discovery (FSKD), 2012 9th International Conference on
  • Conference_Location
    Sichuan
  • Print_ISBN
    978-1-4673-0025-4
  • Type

    conf

  • DOI
    10.1109/FSKD.2012.6234039
  • Filename
    6234039