• DocumentCode
    792148
  • Title

    Remarks on the infinite dimensional Riccati equation

  • Author

    Falb, P.L. ; Kleinman, D.L.

  • Author_Institution
    Massachusetts Institute of Technology, Cambridge, MA, USA
  • Volume
    11
  • Issue
    3
  • fYear
    1966
  • fDate
    7/1/1966 12:00:00 AM
  • Firstpage
    534
  • Lastpage
    536
  • Abstract
    A detailed proof is presented in this paper for the existence and uniqueness theorem of the Riccati equation which arises in the solution of optimal linear regulator problems involving infinite dimensional (Hilbert space) systems. The key role played by the Riccati equation in such infinite dimensional regulator problems is also indicated.
  • Keywords
    Linear systems, time-varying continuous-time; Riccati equations; Control systems; Distortion measurement; Hilbert space; Laboratories; Linear systems; Optimal control; Regulators; Riccati equations; Space technology; Variable speed drives;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1966.1098386
  • Filename
    1098386
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=792148