• DocumentCode
    1376522
  • Title

    Matrix inequalities applicable to estimating solution sizes of Riccati and Lyapunov equations

  • Author

    Komaroff, N.

  • Author_Institution
    NK Consultants, Seal Beach, CA, USA
  • Volume
    34
  • Issue
    1
  • fYear
    1989
  • fDate
    1/1/1989 12:00:00 AM
  • Firstpage
    97
  • Lastpage
    98
  • Abstract
    Simultaneous summation upper bounds for the eigenvalues of the matrix product XY are presented, where X, Y ε Rnxn, with Y symmetric and X arbitrary. These bounds are a generalization of tr (XY) bounds; the requirements on Y are relaxed, and the bound for tr (XY) is stronger than those shown in the literature
  • Keywords
    eigenvalues and eigenfunctions; matrix algebra; Lyapunov equations; Riccati equations; eigenvalues; matrix algebra; matrix inequalities; simultaneous summation upper bounds; Control theory; Eigenvalues and eigenfunctions; Linear matrix inequalities; Riccati equations; Seals; Stability; Symmetric matrices; Upper bound;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.8656
  • Filename
    8656
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1376522