• DocumentCode
    1116085
  • Title

    A New Trace Bound for a General Square Matrix Product

  • Author

    Liu, Jianzhou ; He, Lingli

  • Author_Institution
    Dept. of Math., Xiangtan Univ., Hunan
  • Volume
    52
  • Issue
    2
  • fYear
    2007
  • Firstpage
    349
  • Lastpage
    352
  • Abstract
    Using the correlated properties between the diagonal element and the singular value of the matrix, we propose new trace bounds for the product of two arbitrary real square matrices and improve the recent results
  • Keywords
    Lyapunov matrix equations; Riccati equations; control system synthesis; optimal control; singular value decomposition; stability; Lyapunov equation; algebraic Riccati equation; general square matrix product; optimal control; singular value matrix; stability; trace bound; Cost function; Eigenvalues and eigenfunctions; Helium; Linear matrix inequalities; Mathematics; Optimal control; Regulators; Riccati equations; Stability; Symmetric matrices; Eigenvalue; singular value; trace inequality;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2006.890375
  • Filename
    4099506
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1116085