• DocumentCode
    827937
  • Title

    Three important matrix inequalities currently impacting control and estimation applications

  • Author

    Kerr, T.H.

  • Author_Institution
    Analytic Sciences Corporation, Reading, MA, USA
  • Volume
    23
  • Issue
    6
  • fYear
    1978
  • fDate
    12/1/1978 12:00:00 AM
  • Firstpage
    1110
  • Lastpage
    1111
  • Abstract
    This correspondence traces the origin of three simple but powerful matrix inequalities that have arisen in many diverse control and estimation studies. The purpose of this slightly critical discussion is to stimulate an awareness of the variety of applications for these inequalities and by so doing, hopefully, to reduce the period for their reappearance in the control and estimation theory literature.
  • Keywords
    Control system analysis; Estimation; Matrices; Differential equations; Eigenvalues and eigenfunctions; Linear matrix inequalities; Particle measurements; Riccati equations; Stability criteria; Stochastic processes; Symmetric matrices; Vectors;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1978.1101900
  • Filename
    1101900