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

Vladimir Gaitsgory; Marc 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

Vladimir Gaitsgory, Marc Quincampoix

Research output: Contribution to journal › Article › peer-review

23 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-THEORY METHODS & APPLICATIONS
Volume	88
DOIs	https://doi.org/10.1016/j.na.2013.03.015
Publication status	Published - 2013

Keywords

Deterministic control systems
Differential inclusions
Discounting and long run time average criteria
Infinite time horizon
Linear constraints representations of occupational measures sets

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10.1016/j.na.2013.03.015

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KW - Differential inclusions

KW - Discounting and long run time average criteria

KW - Infinite time horizon

KW - Linear constraints representations of occupational measures sets

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

Abstract

Keywords

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