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http://hdl.handle.net/10397/93898
Title: | Weak closed-loop solvability of stochastic linear quadratic optimal control problems of Markovian regime switching system | Authors: | Wen, J Li, X Xiong, J |
Issue Date: | Aug-2021 | Source: | Applied mathematics and optimization, Aug. 2021, v. 84, no. 1, p. 535-565 | Abstract: | In this paper, we investigate open-loop and weak closed-loop solvabilities of stochastic linear quadratic (LQ, for short) optimal control problem of Markovian regime switching system. Interestingly, these two solvabilities are equivalent on [0, T). We first provide an alternative characterization of the open-loop solvability of LQ problem using a perturbation approach. Then, we study the weak closed-loop solvability of LQ problem of Markovian regime switching system, and establish the equivalent relationship between open-loop and weak closed-loop solvabilities. Finally, we present an example to shed on light on finding weak closed-loop optimal strategies within the framework of Markovian regime switching system. | Keywords: | Markovian regime switching Open-loop solvability Riccati equation Stochastic linear quadratic optimal control Weak closed-loop solvability |
Publisher: | Springer | Journal: | Applied mathematics and optimization | ISSN: | 0095-4616 | EISSN: | 1432-0606 | DOI: | 10.1007/s00245-020-09653-8 | Rights: | © Springer Science+Business Media, LLC, part of Springer Nature 2020 This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use (https://www.springernature.com/gp/open-research/policies/accepted-manuscript-terms), but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s00245-020-09653-8 |
Appears in Collections: | Journal/Magazine Article |
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