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Analysis and implementation of fractional-order chaotic system with standard components

dc.contributor.authorYao, Juan
dc.contributor.authorWang, Kunpeng
dc.contributor.authorHuang, Pengfei
dc.contributor.authorChen, Liping
dc.contributor.authorMachado, J. A. Tenreiro
dc.date.accessioned2021-12-07T10:45:54Z
dc.date.available2021-12-07T10:45:54Z
dc.date.issued2020
dc.description.abstractThis paper is devoted to the problem of uncertainty in fractional-order Chaotic systems implemented by means of standard electronic components. The fractional order element (FOE) is typically substituted by one complex impedance network containing a huge number of discrete resistors and capacitors. In order to balance the complexity and accuracy of the circuit, a sparse optimization based parameter selection method is proposed. The random error and the uncertainty of system implementation are analyzed through numerical simulations. The effectiveness of the method is verified by numerical and circuit simulations, tested experimentally with electronic circuit implementations. The simulations and experiments show that the proposed method reduces the order of circuit systems and finds a minimum number for the combination of commercially available standard components.pt_PT
dc.description.sponsorshipThis work was supported in part by the National Natural Science Foundation of China under Grant 61501385, in part by the National Nuclear Energy Development Project of State Administration for Science, Technology and Industry for National Defense, PRC under Grant 18zg6103, and in part by Sichuan Science and Technology Program under Grant 2018JY0522. We would like to thank Xinghua Feng for meaningful discussion.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.doi10.1016/j.jare.2020.05.008pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.22/19002
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.relation.publisherversionhttps://www.sciencedirect.com/science/article/pii/S2090123220300916?via%3Dihubpt_PT
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/pt_PT
dc.subjectFractional-orderpt_PT
dc.subjectChaotic systempt_PT
dc.subjectSparse optimizationpt_PT
dc.subjectCircuit implementationpt_PT
dc.subjectStandard electronic componentspt_PT
dc.titleAnalysis and implementation of fractional-order chaotic system with standard componentspt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage109pt_PT
oaire.citation.startPage97pt_PT
oaire.citation.titleJournal of Advanced Researchpt_PT
oaire.citation.volume25pt_PT
person.familyNameTenreiro Machado
person.givenNameJ. A.
person.identifier.ciencia-id7A18-4935-5B29
person.identifier.orcid0000-0003-4274-4879
person.identifier.ridM-2173-2013
person.identifier.scopus-author-id55989030100
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublication82cd5c17-07b6-492b-b3e3-ecebdad1254f
relation.isAuthorOfPublication.latestForDiscovery82cd5c17-07b6-492b-b3e3-ecebdad1254f

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