Controllability of Impulsive Neutral Fractional Stochastic Systems

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dc.authoridNadeem, Muhammad/0000-0002-9349-4729
dc.authoridde la Sen, manuel/0000-0001-9320-9433
dc.authoridAin, Qura tul/0000-0003-4442-4756
dc.contributor.authorAin, Qura Tul
dc.contributor.authorNadeem, Muhammad
dc.contributor.authorAkgul, Ali
dc.contributor.authorDe la Sen, Manuel
dc.date.accessioned2024-12-24T19:33:46Z
dc.date.available2024-12-24T19:33:46Z
dc.date.issued2022
dc.departmentSiirt Üniversitesi
dc.description.abstractThe study of dynamic systems appears in various aspects of dynamical structures such as decomposition, decoupling, observability, and controllability. In the present research, we study the controllability of fractional stochastic systems (FSF) and examine the Poisson jumps in finite dimensional space where the fractional impulsive neutral stochastic system is controllable. Sufficient conditions are demonstrated with the aid of fixed point theory. The Mittag-Leffler (ML) matrix function defines the controllability of the Grammian matrix (GM). The relation to symmetry is clear since the controllability Grammian is a hermitian matrix (since the integrand in its definition is hermitian) and this is the complex version of a symmetric matrix. In fact, such a Grammian becomes a symmetric matrix in the specific scenario where the controllability Grammian is a real matrix. Some examples are provided to demonstrate the feasibility of the present theory.
dc.description.sponsorshipBasque Government [IT1155-22]
dc.description.sponsorshipThis research is funded by the Basque Government through Grant IT1155-22.
dc.identifier.doi10.3390/sym14122612
dc.identifier.issn2073-8994
dc.identifier.issue12
dc.identifier.scopus2-s2.0-85144900979
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.3390/sym14122612
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8284
dc.identifier.volume14
dc.identifier.wosWOS:000904100100001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherMdpi
dc.relation.ispartofSymmetry-Basel
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectfractional calculus
dc.subjectcontrollability
dc.subjectimpulsive effect
dc.subjectstochastic calculus
dc.titleControllability of Impulsive Neutral Fractional Stochastic Systems
dc.typeArticle

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