State feedback control for fractional differential equation system in the space of linearly correlated fuzzy numbers

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dc.authoridTofigh Allahviranloo / 0000-0002-6673-3560en_US
dc.authorscopusidTofigh Allahviranloo / 8834494700
dc.authorwosidTofigh Allahviranloo / V-4843-2019en_US
dc.contributor.authorSon, Nguyen Thi Kim
dc.contributor.authorThao, Hoang Thi Phuong
dc.contributor.authorAllahviranloo, Tofigh
dc.contributor.authorLong, Hoang Viet
dc.date.accessioned2022-08-11T08:55:07Z
dc.date.available2022-08-11T08:55:07Z
dc.date.issued2022en_US
dc.departmentİstinye Üniversitesi, Mühendislik ve Doğa Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this paper, we will introduce Caputo fractional LC derivative defined in the linear correlated fuzzy-valued number space RF (A) and some of its applications, specifically the feedback control problem in the space RF (A) in the sense of Caputo fractional LC derivative. Firstly, we give definition of the Riemann-Liouville-LC integral and the Caputo fractional LC derivative of a function that takes value in RF (A). Besides, some Caputo factional LC derivative properties of the sum and difference of two functions have also been proved. Moreover, the problem of dynamic systems in space RF (A) is given in both cases where A is a symmetric or non-symmetric fuzzy number. Along with that, the stability theorems of the equilibrium point are also taken into consideration. Finally, we are interested in building a state feedback control function for the fractional differential equation system in space RF (A) to ensure the equilibrium point of the system is asymptotically stableen_US
dc.identifier.citationSon, N. T. K., Thao, H. T. P., Allahviranloo, T., & Long, H. V. (2022). State feedback control for fractional differential equation system in the space of linearly correlated fuzzy numbers. Fuzzy Sets and Systems, doi:10.1016/j.fss.2022.06.022en_US
dc.identifier.doi10.1016/j.fss.2022.06.022en_US
dc.identifier.issn0165-0114en_US
dc.identifier.scopus2-s2.0-85134780003en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.urihttp://doi.org/10.1016/j.fss.2022.06.022
dc.identifier.urihttps://hdl.handle.net/20.500.12713/3084
dc.identifier.wosWOS:000923159800001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorAllahviranloo, Tofigh
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.relation.ispartofFuzzy Sets and Systemsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectLinearly Correlated Fuzzy Numbersen_US
dc.subjectLC Derivativeen_US
dc.subjectCaputo Fractional Derivativesen_US
dc.subjectAsymptotically Stabilityen_US
dc.subjectState Feedback Controlleren_US
dc.titleState feedback control for fractional differential equation system in the space of linearly correlated fuzzy numbersen_US
dc.typeArticleen_US

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