On sets of occupational measures generated by a deterministic control system on an infinite time horizon

Vladimir Gaitsgory, Marc Quincampoix

    Research output: Contribution to journalArticlepeer-review

    20 Citations (Scopus)

    Abstract

    We give a representation for the closed convex hull of the set of discounted occupational measures generated by control-state trajectories of a deterministic control system. We also investigate the limit behavior of the latter when the discount factor tends to zero and compare it with the limit behavior of the long run time average occupational measures set. The novelty of our results is in that we allow the control set dependence on the state variables that make the results to be applicable to differential inclusions.

    Original languageEnglish
    Pages (from-to)27-41
    Number of pages15
    JournalNONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
    Volume88
    DOIs
    Publication statusPublished - 2013

    Keywords

    • Deterministic control systems
    • Differential inclusions
    • Discounting and long run time average criteria
    • Infinite time horizon
    • Linear constraints representations of occupational measures sets

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