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

V. Gaitsgory*, M. Quincampoix

*Corresponding author for this work

Research output: Contribution to journalArticle

19 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 and Applications
Volume88
DOIs
Publication statusPublished - 2013
Externally publishedYes

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