Uniform Assymptotics in the Average Continuous Control of Piecewise Deterministic Markov Processes : Vanishing Approach
Résumé
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
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