Can transfer function and Bode diagram be obtained from Sumudu transform

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dc.contributor.authorAtangana, Abdon
dc.contributor.authorAkgul, Ali
dc.date.accessioned2024-12-24T19:25:09Z
dc.date.available2024-12-24T19:25:09Z
dc.date.issued2020
dc.departmentSiirt Üniversitesi
dc.description.abstractIn the last past year researchers have relied on the ability of Laplace transform to solve partial, ordinary linear equations with great success. Important analysis in signal analysis including the transfer function, Bode diagram, Nyquist plot and Nichols plot are obtained based on the Laplace transform. The output of the analysis depends only on the results obtained from Laplace transform. However, one weakness of Laplace transform is that the Laplace transform of even func-tion is odd while the Laplace transform of an old function is even which is lack of conservation of properties. On the other hand there exist a similar integral transform known as Sumudu transform has the ability to conserve the properties of the function from real space to complex space. The question that arises in the work, is the following: Can we apply the Sumudu transform to construct new transfer functions that will lead to new Bode, Nichols and Nyquist plots? this question is answered in this work. (c) 2019 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/ licenses/by-nc-nd/4.0/).
dc.identifier.doi10.1016/j.aej.2019.12.028
dc.identifier.endpage1984
dc.identifier.issn1110-0168
dc.identifier.issn2090-2670
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85077375332
dc.identifier.scopusqualityQ1
dc.identifier.startpage1971
dc.identifier.urihttps://doi.org/10.1016/j.aej.2019.12.028
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6291
dc.identifier.volume59
dc.identifier.wosWOS:000563769300008
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofAlexandria Engineering Journal
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectTransfer function
dc.subjectLaplace and Sumudu trans-forms
dc.subjectFractional derivatives
dc.titleCan transfer function and Bode diagram be obtained from Sumudu transform
dc.typeArticle

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