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On a nonlinear dynamical system with both chaotic and nonchaotic behaviors: a new fractional analysis and control

dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorSajjadi, Samaneh Sadat
dc.contributor.authorJajarmi, Amin
dc.contributor.authorDefterli, Özlem
dc.contributor.authorID56389tr_TR
dc.date.accessioned2022-10-06T12:09:33Z
dc.date.available2022-10-06T12:09:33Z
dc.date.issued2021
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this paper, we aim to analyze the complicated dynamical motion of a quarter-car suspension system with a sinusoidal road excitation force. First, we consider a new mathematical model in the form of fractional-order differential equations. In the proposed model, we apply the Caputo–Fabrizio fractional operator with exponential kernel. Then to solve the related equations, we suggest a quadratic numerical method and prove its stability and convergence. A deep investigation in the framework of time-domain response and phase-portrait shows that both the chaotic and nonchaotic behaviors of the considered system can be identified by the fractional-order mathematical model. Finally, we present a state-feedback controller and a chaos optimal control to overcome the system chaotic oscillations. Simulation results demonstrate the effectiveness of the proposed modeling and control strategies.en_US
dc.description.publishedMonth12
dc.identifier.citationBaleanu, Dumitru...et al. (2021). "On a nonlinear dynamical system with both chaotic and nonchaotic behaviors: a new fractional analysis and control", Advances in Difference Equations, Vol. 2021, No. 1.en_US
dc.identifier.doi10.1186/s13662-021-03393-x
dc.identifier.issn1687-1839
dc.identifier.issue1en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/5805
dc.identifier.volume2021en_US
dc.language.isoenen_US
dc.relation.ispartofAdvances in Difference Equationsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectChaotic Oscillationen_US
dc.subjectExponential Kernelen_US
dc.subjectFractional Calculusen_US
dc.subjectOptimal Controlen_US
dc.subjectQuarter-Car Suspension Systemen_US
dc.subjectState-Feedback Controlen_US
dc.titleOn a nonlinear dynamical system with both chaotic and nonchaotic behaviors: a new fractional analysis and controltr_TR
dc.titleOn a Nonlinear Dynamical System With Both Chaotic and Nonchaotic Behaviors: a New Fractional Analysis and Controlen_US
dc.typeArticleen_US
dspace.entity.typePublication

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