• DocumentCode
    839191
  • Title

    Geometric properties and invariant manifolds of the Riccati equation

  • Author

    Medanic, J.

  • Author_Institution
    Michailo Pupin Institute, Belgrade, Yugoslavia
  • Volume
    27
  • Issue
    3
  • fYear
    1982
  • fDate
    6/1/1982 12:00:00 AM
  • Firstpage
    670
  • Lastpage
    677
  • Abstract
    This short paper considers the general Riccati matrix differential equation. It reviews and extends results on the characterization and existence of equilibrium solutions, establishes that the Riccati equation has at most one stable equilibrium solution as t \\rightarrow \\infty or t \\rightarrow -\\infty , and confines the region of attraction to this unique stable equilibrium solution by identifying and utilizing linear and nonlinear invariant manifolds of the Riccati equation.
  • Keywords
    Differential Riccati equations; Riccati equations, differential; Control system synthesis; Estimation theory; Integral equations; Mathematics; Network synthesis; Nonlinear equations; Open loop systems; Optimal control; Riccati equations; Stability;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1982.1102989
  • Filename
    1102989
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=839191