Publication:
Maximum principle for partially observed risk-sensitive optimal control problem of McKean?Vlasov FBSDEs involving impulse controls

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dc.citedby0
dc.contributor.authorLakhdari I.E.en_US
dc.contributor.authorDjenaihi Y.en_US
dc.contributor.authorKaouache R.en_US
dc.contributor.authorBoulaaras S.en_US
dc.contributor.authorJan R.en_US
dc.contributor.authorid57217831964en_US
dc.contributor.authorid57210817582en_US
dc.contributor.authorid59312786200en_US
dc.contributor.authorid36994353700en_US
dc.contributor.authorid57205596279en_US
dc.date.accessioned2025-03-03T07:41:26Z
dc.date.available2025-03-03T07:41:26Z
dc.date.issued2024
dc.description.abstractIn this research, we investigate the maximum principle pertaining to risk-sensitive optimal control problems under partial observation, modeled by forward?backward stochastic differential equations (FBSDEs) of the general regularity McKean?Vlasov form. An important aspect of these equations is that their coefficients are nonlinearly influenced by both the state process and its distribution. The control variable consists of two components: a continuous control and an impulse control. The cost functional is an exponential of integral type based on the regularity McKean?Vlasov framework. By applying Girsanov?s theorem and taking derivatives with respect to the probability distribution, we establish the risk-sensitive maximum principle. This principle is formulated using variational inequalities, under the assumption that the control domain is convex. Moreover, the sufficient conditions of optimality is obtained under certain concavity assumptions. As an application, the main outcomes are used to solve a linear-quadratic risk-sensitive optimal control problem of the regularity McKean?Vlasov type, both under partial and full observation conditions. ? The Author(s), under exclusive licence to Springer Nature Switzerland AG 2024.en_US
dc.description.natureFinalen_US
dc.identifier.ArtNo82
dc.identifier.doi10.1007/s11868-024-00654-7
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85208739845
dc.identifier.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85208739845&doi=10.1007%2fs11868-024-00654-7&partnerID=40&md5=b76b9ce8340cda8b410901723b792724
dc.identifier.urihttps://irepository.uniten.edu.my/handle/123456789/36136
dc.identifier.volume15
dc.publisherBirkhauseren_US
dc.sourceScopus
dc.sourcetitleJournal of Pseudo-Differential Operators and Applications
dc.titleMaximum principle for partially observed risk-sensitive optimal control problem of McKean?Vlasov FBSDEs involving impulse controlsen_US
dc.typeArticleen_US
dspace.entity.typePublication
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