• DocumentCode
    828542
  • Title

    On the existence of solutions to coupled matrix Riccati differential equations in linear quadratic Nash games

  • Author

    Papavassilopoulos, G.P. ; Cruz, J.B., Jr.

  • Author_Institution
    University of Illinois, Urbana, IL, USA
  • Volume
    24
  • Issue
    1
  • fYear
    1979
  • fDate
    2/1/1979 12:00:00 AM
  • Firstpage
    127
  • Lastpage
    129
  • Abstract
    Sufficient conditions for the existence of closed-loop linear Nash strategies for a linear quadratic game are derived through use of diffrential inequalities.
  • Keywords
    Differential Riccati equations; Differential games; Riccati equations, differential; Control systems; Cost function; Differential equations; Hierarchical systems; Large-scale systems; Linear matrix inequalities; Nash equilibrium; Riccati equations; Stability; Sufficient conditions;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1979.1101958
  • Filename
    1101958
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=828542