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An algebraic stability test for fractional order time delay systems

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dc.contributor.author Özyetkin, M.M.
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2022-03-10T10:41:58Z
dc.date.available 2022-03-10T10:41:58Z
dc.date.issued 2020
dc.identifier.citation Özyetkin, M.M.; Baleanu, Dumitru (2020). "An algebraic stability test for fractional order time delay systems", International Journal of Optimization and Control: Theories and Applications, Vol. 10, No. 1, pp. 94-103. tr_TR
dc.identifier.uri http://hdl.handle.net/20.500.12416/5110
dc.description.abstract In this study, an algebraic stability test procedure is presented for fractional order time delay systems. This method is based on the principle of eliminating time delay. The stability test of fractional order systems cannot be examined directly using classical methods such as Routh-Hurwitz, because such systems do not have analytical solutions. When a system contains the square roots of s, it is seen that there is a double value function of s. In this study, a stability test procedure is applied to systems including √s and/or different fractional degrees such as sαwhere 0 < a < 1, and aϵR. For this purpose, the integer order equivalents of fractional order terms are first used and then the stability test is applied to the system by eliminating time delay. Thanks to the proposed method, it is not necessary to use approximations instead of time delay term such as Padé. Thus, the stability test procedure does not require the solution of higher order equations. © 2020 Balikesir University. All rights reserved. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.11121/IJOCTA.01.2020.00803 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Fractional Order tr_TR
dc.subject Integer Order tr_TR
dc.subject Stability tr_TR
dc.subject Time Delay tr_TR
dc.title An algebraic stability test for fractional order time delay systems tr_TR
dc.type article tr_TR
dc.relation.journal International Journal of Optimization and Control: Theories and Applications tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 10 tr_TR
dc.identifier.issue 1 tr_TR
dc.identifier.startpage 94 tr_TR
dc.identifier.endpage 103 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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