dc.contributor.author |
Baleanu, Dumitru
|
|
dc.contributor.author |
Sajjadi, Samaneh Sadat
|
|
dc.contributor.author |
Jajarmi, Amin
|
|
dc.contributor.author |
Defterli, Özlem
|
|
dc.date.accessioned |
2022-10-06T12:09:33Z |
|
dc.date.available |
2022-10-06T12:09:33Z |
|
dc.date.issued |
2021-12 |
|
dc.identifier.citation |
Baleanu, 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. |
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dc.identifier.issn |
1687-1839 |
|
dc.identifier.uri |
http://hdl.handle.net/20.500.12416/5805 |
|
dc.description.abstract |
In 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. |
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dc.language.iso |
eng |
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dc.relation.isversionof |
10.1186/s13662-021-03393-x |
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dc.rights |
info:eu-repo/semantics/openAccess |
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dc.subject |
Chaotic Oscillation |
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dc.subject |
Exponential Kernel |
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dc.subject |
Fractional Calculus |
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dc.subject |
Optimal Control |
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dc.subject |
Quarter-Car Suspension System |
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dc.subject |
State-Feedback Control |
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dc.title |
On a nonlinear dynamical system with both chaotic and nonchaotic behaviors: a new fractional analysis and control |
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dc.type |
article |
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dc.relation.journal |
Advances in Difference Equations |
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dc.contributor.authorID |
56389 |
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dc.identifier.volume |
2021 |
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dc.identifier.issue |
1 |
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dc.contributor.department |
Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü |
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