Lmi-Based Stabilization of a Class of Fractional-Order Chaotic Systems
| dc.contributor.author | Kuntanapreeda, Suwat | |
| dc.contributor.author | Delavari, Hadi | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Faieghi, Mohammadreza | |
| dc.contributor.other | 02.02. Matematik | |
| dc.contributor.other | 02. Fen-Edebiyat Fakültesi | |
| dc.contributor.other | 01. Çankaya Üniversitesi | |
| dc.date.accessioned | 2017-03-13T12:22:46Z | |
| dc.date.accessioned | 2025-09-18T12:48:33Z | |
| dc.date.available | 2017-03-13T12:22:46Z | |
| dc.date.available | 2025-09-18T12:48:33Z | |
| dc.date.issued | 2013 | |
| dc.description | Kuntanapreeda, Suwat/0000-0002-5256-8875 | en_US |
| dc.description.abstract | Based on the theory of stabilization of fractional-order LTI interval systems, a simple controller for stabilization of a class of fractional-order chaotic systems is proposed in this paper. We consider the structure of the chaotic systems as fractional-order LTI interval systems due to the limited amplitude of chaotic trajectories. We introduce a simple feedback controller for the interval system and then, based on a recently established theorem for stabilization of interval systems, we reach to a linear matrix inequality (LMI) problem. Solving the LMI yields an appropriate decoupling feedback control law which suffices to bring the chaotic trajectories to the origin. Several illustrative examples are given which show the effectiveness of the method. | en_US |
| dc.description.publishedMonth | 4 | |
| dc.identifier.citation | Faieghi, M.R...et al. (2013). LMI-based stabilization of a class of fractional-order chaotic systems. Nonlinear Dynamics, 72(1-2), 301-309. http://dx.doi.org/10.1007/s11071-012-0714-6 | en_US |
| dc.identifier.doi | 10.1007/s11071-012-0714-6 | |
| dc.identifier.issn | 0924-090X | |
| dc.identifier.scopus | 2-s2.0-84875639849 | |
| dc.identifier.uri | https://doi.org/10.1007/s11071-012-0714-6 | |
| dc.identifier.uri | https://hdl.handle.net/123456789/12104 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Chaos Control | en_US |
| dc.subject | Fractional-Order Systems | en_US |
| dc.subject | Interval System | en_US |
| dc.subject | Linear Matrix Inequality (Lmi) | en_US |
| dc.title | Lmi-Based Stabilization of a Class of Fractional-Order Chaotic Systems | en_US |
| dc.title | LMI-based stabilization of a class of fractional-order chaotic systems | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Kuntanapreeda, Suwat/0000-0002-5256-8875 | |
| gdc.author.institutional | Baleanu, Dumitru | |
| gdc.author.scopusid | 57491904900 | |
| gdc.author.scopusid | 55915437000 | |
| gdc.author.scopusid | 24437653100 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.wosid | Delavari, Hadi/W-9216-2019 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Kuntanapreeda, Suwat/I-9734-2014 | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Faieghi, Mohammadreza] Islamic Azad Univ, Miyaneh Branch, Dept Elect Engn, Miyaneh, Iran; [Kuntanapreeda, Suwat] King Mongkuts Univ Technol North Bangkok, Fac Engn, Dept Mech & Aerosp Engn, Bangkok 10800, Thailand; [Delavari, Hadi] Hamedan Univ Technol, Dept Elect Engn, Hamadan 65155, Iran; [Baleanu, Dumitru] Cankaya Univ, Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania | en_US |
| gdc.description.endpage | 309 | en_US |
| gdc.description.issue | 1-2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 301 | en_US |
| gdc.description.volume | 72 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.openalex | W1988809403 | |
| gdc.identifier.wos | WOS:000316820500026 | |
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| gdc.openalex.normalizedpercentile | 0.97 | |
| gdc.openalex.toppercent | TOP 10% | |
| gdc.opencitations.count | 78 | |
| gdc.plumx.crossrefcites | 39 | |
| gdc.plumx.mendeley | 15 | |
| gdc.plumx.scopuscites | 102 | |
| gdc.scopus.citedcount | 102 | |
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