Abstract
This chapter is devoted to the existence of an optimal control strategy for the long-run average continuous control problem of PDMPs using the vanishing discount approach. This is done by first establishing in Sect. 4.2 an optimality equation for the discounted control problem. In the sequel, two sets of assumptions are considered.
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© 2013 Oswaldo Luiz do Valle Costa, François Dufour
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do Valle Costa, O.L., Dufour, F. (2013). The Vanishing Discount Approach for PDMPs. In: Continuous Average Control of Piecewise Deterministic Markov Processes. SpringerBriefs in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6983-4_4
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DOI: https://doi.org/10.1007/978-1-4614-6983-4_4
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Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4614-6982-7
Online ISBN: 978-1-4614-6983-4
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