https://hal.inria.fr/hal-00916713Gaitsgory, VladimirVladimirGaitsgoryUniversity of South Australia [Adelaide]Quincampoix, MarcMarcQuincampoixLM - Laboratoire de mathématiques de Brest - UBO - Université de Brest - IBNM - Institut Brestois du Numérique et des Mathématiques - UBO - Université de Brest - CNRS - Centre National de la Recherche ScientifiqueOn sets of occupational measures generated by a deterministic control system on an infinite time horizonHAL CCSD2013[MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC]Bouzat, EstelleSensitivity Analysis for Deterministic Controller Design - SADCO - - EC:FP7:PEOPLE2011-01-01 - 2014-12-31 - 264735 - VALID - 2013-12-10 15:52:452021-10-11 14:22:062013-12-10 15:52:45enJournal articles10.1016/j.na.2013.03.0151We 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.