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- W4288358838 abstract "We consider a general class of singular control problems with state constraints. Budhiraja and Ross (2006) established the existence of optimal controls for a relaxed version of this class of problems by using the so-called `time-stretching' method and the J1-topology. We show that the weak-M1 topology is better suited for establishing existence, since it allows to bypass the time-transformations, without any additional effort. Furthermore, we reveal how the time-scaling feature in the definition of the weak-M1 distance embeds the time-stretching method's scheme. This case study suggests that one can benefit from working with the weak-M1 topology in other singular control frameworks, such as queueing control problems under heavy traffic." @default.
- W4288358838 created "2022-07-29" @default.
- W4288358838 creator A5050033032 @default.
- W4288358838 date "2019-05-07" @default.
- W4288358838 modified "2023-09-24" @default.
- W4288358838 title "On singular control problems, the time-stretching method, and the weak-M1 topology" @default.
- W4288358838 doi "https://doi.org/10.48550/arxiv.1905.02608" @default.
- W4288358838 hasPublicationYear "2019" @default.
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