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

Vladimir Gaitsgory 1 Marc Quincampoix 2
1 University of South Australia [Adelaide]
2 LM - Laboratoire de mathématiques de Brest
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.
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https://hal.inria.fr/hal-00916713
Contributor : Estelle Bouzat <>
Submitted on : Tuesday, December 10, 2013 - 3:52:45 PM
Last modification on : Wednesday, April 1, 2020 - 1:57:03 AM

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Vladimir Gaitsgory, Marc Quincampoix. On sets of occupational measures generated by a deterministic control system on an infinite time horizon. Nonlinear Analysis: Theory, Methods and Applications, Elsevier, 2013, pp.27-41. ⟨10.1016/j.na.2013.03.015⟩. ⟨hal-00916713⟩

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