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

V. Gaitsgory; M. Quincampoix

doi:10.1016/j.na.2013.03.015

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 journal › Article › peer-review

24 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 language	English
Pages (from-to)	27-41
Number of pages	15
Journal	Nonlinear Analysis
Volume	88
DOIs	https://doi.org/10.1016/j.na.2013.03.015
Publication status	Published - 2013
Externally published	Yes

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

Abstract

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