A GRAPHICAL STABILITY ANALYSIS METHOD FOR CASCADE CONJUGATE ORDER SYSTEMS

dc.contributor.authorCetintas, Gulten
dc.contributor.authorHamamci, Serdar Ethem
dc.date.accessioned2024-08-04T20:56:17Z
dc.date.available2024-08-04T20:56:17Z
dc.date.issued2021
dc.departmentİnönü Üniversitesien_US
dc.descriptionASME International Design Engineering Technical Conferences / 41st Annual Computers and Information in Engineering Conference (IDETC-CIE) / 17th IEEE/ASME International Conference on Mechatronic and Embedded Systems and Applications (MESA) -- AUG 17-19, 2021 -- ELECTR NETWORKen_US
dc.description.abstractThe theory and applications of complex fractional analysis have recently become a hot topic in the fields of mathematics and engineering. Therefore, studies on the complex order systems and their subset called the complex conjugate order systems began to appear in the control community. On the other hand, the concept of stability has always been an important issue, especially in the analysis and control of dynamical systems. In this paper, a graphical method for stability analysis of the complex conjugate order systems is presented. Since the proposed method is based on the Mikhailov stability criterion known from the stability theory of integer order systems, it is named the generalized modified Mikhailov stability criterion. This method gives stability information about the higher order complex conjugate order systems, i.e. cascade conjugate order systems, according to whether it encloses the origin in the complex plane or not. Three simulation examples for the cascade conjugate order systems are given to show the effectiveness and reliability of the method presented. The results are verified by the poles on the first sheet of Riemann surface and also time responses of the systems, which are calculated analytically in a very complex way.en_US
dc.description.sponsorshipAmer Soc Mech Engineers, Design Engn Div,Amer Soc Mech Engineers, Comp & Informat Engn Div, Tech Comm Micro & Nano Syst,IEEEen_US
dc.description.sponsorshipInonu University Project of Scientific Research Unit (BAP) [FDK-2021-2370]en_US
dc.description.sponsorshipThis work is supported by the Inonu University Project of Scientific Research Unit (BAP) under the project number FDK-2021-2370.en_US
dc.identifier.isbn978-0-7918-8543-7
dc.identifier.urihttps://hdl.handle.net/11616/102191
dc.identifier.wosWOS:001224362100027en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherAmer Soc Mechanical Engineersen_US
dc.relation.ispartofProceedings of Asme 2021 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Idetc-Cie2021, Vol 7en_US
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectComplex fractional calculusen_US
dc.subjectComplex order systemsen_US
dc.subjectComplex conjugate order systemsen_US
dc.subjectCascade conjugate order systemsen_US
dc.subjectMikhailov stability criterionen_US
dc.titleA GRAPHICAL STABILITY ANALYSIS METHOD FOR CASCADE CONJUGATE ORDER SYSTEMSen_US
dc.typeConference Objecten_US

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