Stability Analysis of Caputo Fractional-Order Nonlinear Systems Revisited
| dc.contributor.author | Baleanu, D. | |
| dc.contributor.author | Sadati, J. | |
| dc.contributor.author | Delavari, H. | |
| dc.date.accessioned | 2017-03-10T12:15:35Z | |
| dc.date.accessioned | 2025-09-18T13:27:59Z | |
| dc.date.available | 2017-03-10T12:15:35Z | |
| dc.date.available | 2025-09-18T13:27:59Z | |
| dc.date.issued | 2012 | |
| dc.description.abstract | In this paper stability analysis of fractional-order nonlinear systems is studied. An extension of Lyapunov direct method for fractional-order systems using Bihari's and Bellman-Gronwall's inequality and a proof of comparison theorem for fractional-order systems are proposed. © 2011 Springer Science+Business Media B.V. | en_US |
| dc.identifier.citation | Delavari, H., Baleanu, D., Sadati, J. (2012). Stability analysis of Caputo fractional-order nonlinear systems revisited. Nonlinear Dynamics, 67(4), 2433-2439. http://dx.doi.org/10.1007/s11071-011-0157-5 | en_US |
| dc.identifier.doi | 10.1007/s11071-011-0157-5 | |
| dc.identifier.issn | 0924-090X | |
| dc.identifier.issn | 1573-269X | |
| dc.identifier.scopus | 2-s2.0-84858841611 | |
| dc.identifier.uri | https://doi.org/10.1007/s11071-011-0157-5 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13110 | |
| dc.language.iso | en | en_US |
| dc.relation.ispartof | Nonlinear Dynamics | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Bihari'S Inequality | en_US |
| dc.subject | Bellman-Gronwall'S Inequality | en_US |
| dc.subject | Comparison Theorem | en_US |
| dc.subject | Fractional-Order Nonlinear System | en_US |
| dc.subject | Lyapunov Direct Method | en_US |
| dc.title | Stability Analysis of Caputo Fractional-Order Nonlinear Systems Revisited | en_US |
| dc.title | Stability analysis of Caputo fractional-order nonlinear systems revisited | tr_TR |
| dc.type | Article | en_US |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | Delavari H., Department of Electrical Engineering, Hamedan University of Technology, Hamedan 65155, Iran; Baleanu D., Department of Mathematics and Computer Science, Institute of Space Sciences, Çankaya University, Magurele-Bucharest 76900, P.O. Box MG-23, Romania; Sadati J., Faculty of Electrical and Computer Engineering, Babol University of Technology, Babol, P.O. Box 47135-484, Iran | en_US |
| gdc.description.endpage | 2439 | en_US |
| gdc.description.issue | 4 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 2433 | en_US |
| gdc.description.volume | 67 | en_US |
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| gdc.oaire.keywords | Lyapunov's direct method | |
| gdc.oaire.keywords | Bellman-Gronwall's inequality | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | Nonlinear systems in control theory | |
| gdc.oaire.keywords | fractional-order nonlinear system | |
| gdc.oaire.keywords | Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory | |
| gdc.oaire.keywords | Fractional ordinary differential equations | |
| gdc.oaire.keywords | comparison theorem | |
| gdc.oaire.keywords | Bihari's inequality | |
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| gdc.virtual.author | Baleanu, Dumitru | |
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