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A finite horizon optimal switching problem with memory and application to controlled SDDEs
Linnaeus University, Faculty of Technology, Department of Physics and Electrical Engineering. (EPHS)ORCID iD: 0000-0003-3111-4820
2020 (English)In: Mathematical Methods of Operations Research, ISSN 1432-2994, E-ISSN 1432-5217, Vol. 91, p. 465-500Article in journal (Refereed) Published
Abstract [en]

We consider an optimal switching problem where the terminal reward depends on the entire control trajectory. We show existence of an optimal control by applying a probabilistic technique based on the concept of Snell envelopes. We then apply this result to solve an impulse control problem for stochastic delay differential equations driven by a Brownian motion and an independent compound Poisson process. Furthermore, we show that the studied problem arises naturally when maximizing the revenue from operation of a group of hydro-power plants with hydrological coupling.

Place, publisher, year, edition, pages
Springer, 2020. Vol. 91, p. 465-500
Keywords [en]
Impulse control, Optimal switching, Real options, Stopping time, Snell envelope, SDDEs
National Category
Signal Processing
Research subject
Physics, Electrotechnology
Identifiers
URN: urn:nbn:se:lnu:diva-90848DOI: 10.1007/s00186-019-00699-1ISI: 000504583100001Scopus ID: 2-s2.0-85077141025OAI: oai:DiVA.org:lnu-90848DiVA, id: diva2:1384780
Available from: 2020-01-10 Created: 2020-01-10 Last updated: 2021-05-17Bibliographically approved

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Perninge, Magnus

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