• DocumentCode
    845178
  • Title

    A skew-symmetric formulation of the algebraic Riccati equation problem

  • Author

    Incertis, F.

  • Author_Institution
    IBM Madrid Scientific Center, Madrid, Spain
  • Volume
    29
  • Issue
    5
  • fYear
    1984
  • fDate
    5/1/1984 12:00:00 AM
  • Firstpage
    467
  • Lastpage
    470
  • Abstract
    By introducing a set of matrix transformations a new canonical representation in the field of real skew-symmetric matrices is obtained for the algebraic Riccati equation. As a consequence of this reformulation closed-form analytical solutions are derived in R^{2 \\times 2} or when some special commutativity conditions are fulfilled in the transformed space. The formulation extends the results of [6] to a wider class of Riccati equations.
  • Keywords
    Algebraic Riccati equation (ARE); Riccati equations, algebraic; Costs; Frequency; H infinity control; MIMO; Poles and zeros; Riccati equations; Servomechanisms; Steady-state; Symmetric matrices; Transfer functions;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1984.1103565
  • Filename
    1103565
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=845178