• DocumentCode
    637581
  • Title

    Left conjugate product of polynomial matrices and solutions to the dual Sylvester-conjugate matrix equations

  • Author

    Ai-guo Wu ; Ye Chen ; Sreeram, Victor ; Wanquan Liu ; Fernando, Tyrone

  • Author_Institution
    Shenzhen Grad. Sch., Harbin Inst. of Technol., Shenzhen, China
  • fYear
    2012
  • fDate
    15-16 Nov. 2012
  • Firstpage
    367
  • Lastpage
    372
  • Abstract
    In this paper, the concept of left conjugate product is first presented. Some interesting properties of the concept are then derived. Using left conjugate product as a tool, we investigate dual Sylvester-conjugate matrix equations which include Lyapunov matrix equations and generalized Sylvester-observer matrix equations as special cases. An explicit solution of this matrix equation is presented with a free parameter matrix.
  • Keywords
    Lyapunov matrix equations; polynomial matrices; Lyapunov matrix equations; dual-Sylvester-conjugate matrix equations; explicit solution; free parameter matrix; generalized Sylvester-observer matrix equations; left-conjugate polynomial matrix product; Algorithm design and analysis; Australia; Educational institutions; Linear systems; Mathematical model; Polynomials;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control Conference (AUCC), 2012 2nd Australian
  • Conference_Location
    Sydney, NSW
  • Print_ISBN
    978-1-922107-63-3
  • Type

    conf

  • Filename
    6613224
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=637581