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dc.contributor.authorGaitsgory, Vladimir
dc.contributor.authorQuincampoix, Marc
dc.identifier.citationGaitsgory, V. and Quincampoix, M., 2013. On sets of occupational measures generated by a deterministic control system on an infinite time horizon. Nonlinear Analysis: Theory, Methods and Applications, 88, 27-41.en
dc.descriptionAuthor version made available in accordance with the publisher's policy.en
dc.description.abstractWe 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.en
dc.description.sponsorshipThe work of the first author was partially funded by the Australian Research Council Discovery-Project Grants DP0664330, DP120100532, and DP130104432 and by the Linkage International Grant LX0560049. The second author was partially supported by project SADCO, FP7-PEOPLE-2010-ITN, No. 264735 and he was also supported partially by the French National Research AgencyANR-10-BLAN 0112.en
dc.subjectOperation researchen_US
dc.subjectControl systemsen_US
dc.subjectNonlinear analysisen_US
dc.titleOn sets of occupational measures generated by a deterministic control system on an infinite time horizonen_US
dc.rights.holderCopyright © 2013 Published by Elsevier Ltd.en_US

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