Issue |
ESAIM: ProcS
Volume 45, September 2014
Congrès SMAI 2013
|
|
---|---|---|
Page(s) | 168 - 177 | |
DOI | https://doi.org/10.1051/proc/201445017 | |
Published online | 13 November 2014 |
Uniform Assymptotics in the Average Continuous Control of Piecewise Deterministic Markov Processes : Vanishing Approach*,**
1 Université Paris-Est, LAMA, UMR8050, 5, boulevard Descartes,
Cité Descartes, Champs-sur-Marne, 77454 Marne-la-Vallée, France.
2 Univ. Perpignan Via Domitia,
LAboratoire de Mathématiques et PhySique, EA 4217, F-66860
Perpignan,
France
We prove a uniform Abelian result for controlled systems with piecewise deterministic Markov dynamics : the existence of a uniform limit for value functions with discounted costs as the discount factor decreases to zero implies the existence of a (uniform) value function with long time average cost. The result is independent of dissipativity properties of the control system.
© EDP Sciences, SMAI 2014
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