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A Note on Stability of Sliding Mode Dynamics in Suppression of Fractional-Order Chaotic Systems

dc.contributor.author Delavari, Hadi
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Faieghi, Mohammad Reza
dc.contributor.authorID 56389 tr_TR
dc.contributor.other 02.02. Matematik
dc.contributor.other 02. Fen-Edebiyat Fakültesi
dc.contributor.other 01. Çankaya Üniversitesi
dc.date.accessioned 2020-05-11T13:29:23Z
dc.date.accessioned 2025-09-18T15:43:11Z
dc.date.available 2020-05-11T13:29:23Z
dc.date.available 2025-09-18T15:43:11Z
dc.date.issued 2013
dc.description.abstract We consider a class of fractional-order chaotic systems which undergoes unknown perturbations. We revisit the problem of sliding mode controller design for robust stabilization of chaotic systems using one control input. In the recent works, it was assumed that one of the system equations are perturbed by uncertainties. For this case we show that the sliding mode dynamics are globally stable which is not addressed so far. Next, we allow that all the system's equations depend on uncertain terms and provide a theoretical justification for applicability of the existing design. We also determine the least amount of precise information about the chaotic system that is needed to design the controller. (C) 2012 Elsevier Ltd. All rights reserved. en_US
dc.description.publishedMonth 9
dc.identifier.citation Baleanu, Dumitru; Faieghi, Mohammad Reza; Delavari, Hadi, "A Note On Stability Of Sliding Mode Dynamics in Suppression Of Fractional-Order Chaotic Systems", Computers & Mathematics With Applications, 66, No. 5, pp. 832-837, (2013). en_US
dc.identifier.doi 10.1016/j.camwa.2012.11.015
dc.identifier.issn 0898-1221
dc.identifier.issn 1873-7668
dc.identifier.scopus 2-s2.0-84881477402
dc.identifier.uri https://doi.org/10.1016/j.camwa.2012.11.015
dc.identifier.uri https://hdl.handle.net/20.500.12416/13870
dc.language.iso en en_US
dc.publisher Pergamon-elsevier Science Ltd en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.subject Chaos Control en_US
dc.subject Fractional-Order Systems en_US
dc.subject Sliding Mode Control en_US
dc.subject Adaptive Law en_US
dc.subject Lyapunov Stability Theorem en_US
dc.title A Note on Stability of Sliding Mode Dynamics in Suppression of Fractional-Order Chaotic Systems en_US
dc.title A Note On Stability Of Sliding Mode Dynamics in Suppression Of Fractional-Order Chaotic Systems tr_TR
dc.type Article en_US
dspace.entity.type Publication
gdc.author.institutional Baleanu, Dumitru
gdc.author.scopusid 57491904900
gdc.author.scopusid 24437653100
gdc.author.scopusid 7005872966
gdc.author.wosid Baleanu, Dumitru/B-9936-2012
gdc.author.wosid Delavari, Hadi/W-9216-2019
gdc.description.department Çankaya University en_US
gdc.description.departmenttemp [Faieghi, Mohammad Reza] Islamic Azad Univ, Dept Elect Engn, Miyaneh Branch, Miyaneh, Iran; [Delavari, Hadi] Hamedan Univ Technol, Dept Elect Engn, Hamadan 65155, Iran; [Baleanu, Dumitru] Cankaya Univ, Fac Art & Sci, Dept Math & Comp Sci, Ankara, Turkey; [Baleanu, Dumitru] King Abdulaziz Univ, Fac Engn, Dept Chem & Mat Engn, Jeddah 21589, Saudi Arabia; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania en_US
gdc.description.endpage 837 en_US
gdc.description.issue 5 en_US
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
gdc.description.scopusquality Q1
gdc.description.startpage 832 en_US
gdc.description.volume 66 en_US
gdc.description.woscitationindex Science Citation Index Expanded
gdc.description.wosquality Q1
gdc.identifier.openalex W1965562841
gdc.identifier.wos WOS:000323869000026
gdc.openalex.fwci 3.60678222
gdc.openalex.normalizedpercentile 0.94
gdc.openalex.toppercent TOP 10%
gdc.opencitations.count 28
gdc.plumx.crossrefcites 17
gdc.plumx.mendeley 13
gdc.plumx.scopuscites 31
gdc.scopus.citedcount 31
gdc.wos.citedcount 24
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