On the linear-quadratic, closed-loop, no-memory Nash game

G.P. Papavassilopulos, G.J. Olsder

    Research output: Contribution to journalArticleAcademic

    32 Citations (Scopus)
    51 Downloads (Pure)

    Abstract

    Linear closed-loop no-memory strategies for the LQ Nash game are considered. We exhibit a class of such problems with the property that the solution exists for any finite time interval; for the infinite time case, there exist none or a unique or many solutions, depending on the choice of the parameters. In addition, the limit of the finite time solution as the time interval increases does not have to yield the infinite time case solution. A geometric formulation of the coupled algebraic Riccati equation is given. This formulation seems to be an interesting starting point for a thorough study of these equations.
    Original languageUndefined
    Pages (from-to)551-560
    JournalJournal of optimization theory and applications
    Volume42
    Issue number4
    DOIs
    Publication statusPublished - 1984

    Keywords

    • IR-85580

    Cite this