On Peng's type maximum principle for optimal control of mean-field stochastic differential equations with jump processes

dc.contributor.author Shahlar Meherrem
dc.contributor.author Mokhtar Hafayed
dc.contributor.author Syed Abbas
dc.contributor.author Hafayed, Mokhtar
dc.contributor.author Meherrem, Shahlar
dc.contributor.author Abbas, Syed
dc.date.accessioned 2025-10-06T16:22:31Z
dc.date.issued 2019
dc.description.abstract In this paper we investigate the Peng's type optimal control problems for stochastic differential equations of mean-field type with jump processes. The coefficients of the system contain not only the state process but also its marginal distribution through their expected values. We assume that the control set is a general open set that is not necessary convex. The control variable is allowed to enter into both diffusion and jump terms. We extend the maximum principle of Buckdahn et al. (2011) to jump case.
dc.identifier.doi 10.1504/IJMIC.2019.098782
dc.identifier.issn 1746-6172
dc.identifier.issn 1746-6180
dc.identifier.scopus 2-s2.0-85063946094
dc.identifier.uri http://dx.doi.org/10.1504/IJMIC.2019.098782
dc.identifier.uri https://gcris.yasar.edu.tr/handle/123456789/7417
dc.identifier.uri https://doi.org/10.1504/IJMIC.2019.098782
dc.language.iso English
dc.publisher INDERSCIENCE ENTERPRISES LTD
dc.relation.ispartof International Journal of Modelling, Identification and Control
dc.rights info:eu-repo/semantics/closedAccess
dc.source INTERNATIONAL JOURNAL OF MODELLING IDENTIFICATION AND CONTROL
dc.subject mean-field jump systems, stochastic optimal control, Peng's maximum principle, spike variation method, second-order adjoint equation, Poisson martingale measure
dc.subject SUFFICIENT CONDITIONS, SINGULAR CONTROL, SYSTEMS, DELAY, INFORMATION, DRIVEN
dc.subject Stochastic Optimal Control
dc.subject Mean-Field Jump Systems
dc.subject Second-Order Adjoint Equation
dc.subject Spike Variation Method
dc.subject Peng’s Maximum Principle
dc.subject Poisson Martingale Measure
dc.title On Peng's type maximum principle for optimal control of mean-field stochastic differential equations with jump processes
dc.type Article
dspace.entity.type Publication
gdc.author.id Abbas, Syed/0000-0001-5694-2011
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gdc.author.wosid HAFAYED, Mokhtar/W-7150-2019
gdc.author.wosid Meherrem, Shahlar/G-6278-2018
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gdc.description.department
gdc.description.departmenttemp [Meherrem, Shahlar] Yasar Univ, Dept Math, Agacli Yol 35-57, Izmir, Turkey; [Hafayed, Mokhtar] Biskra Univ, Lab Appl Math, POB 145, Biskra 07000, Algeria; [Abbas, Syed] Indian Inst Technol Mandi, Sch Basic Sci, Mandi 175001, HP, India
gdc.description.endpage 258
gdc.description.issue 3
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
gdc.description.startpage 245
gdc.description.volume 31
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gdc.virtual.author Meherrem, Şahlar
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person.identifier.orcid Abbas- Syed/0000-0001-5694-2011
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