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LMI-based stabilization of a class of fractional-order chaotic systems

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dc.contributor.author Faieghi, Mohammad Reza
dc.contributor.author Kuntanapreeda, Suwat
dc.contributor.author Delavari, Hadi
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2017-03-13T12:22:46Z
dc.date.available 2017-03-13T12:22:46Z
dc.date.issued 2013-04
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 tr_TR
dc.identifier.issn 0924-090X
dc.identifier.uri http://hdl.handle.net/20.500.12416/1450
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. tr_TR
dc.language.iso eng tr_TR
dc.publisher Springer tr_TR
dc.relation.isversionof 10.1007/s11071-012-0714-6 tr_TR
dc.rights info:eu-repo/semantics/closedAccess
dc.subject Chaos Control tr_TR
dc.subject Fractional-Order Systems tr_TR
dc.subject Interval System tr_TR
dc.subject Linear Matrix Inequality (LMI) tr_TR
dc.title LMI-based stabilization of a class of fractional-order chaotic systems tr_TR
dc.type article tr_TR
dc.relation.journal Nonlinear Dynamics tr_TR
dc.identifier.volume 72 tr_TR
dc.identifier.issue 1-2 tr_TR
dc.identifier.startpage 301 tr_TR
dc.identifier.endpage 309 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümü tr_TR


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