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Fractional optimal control problems with several state and control variables

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dc.contributor.author Agrawal, Om. P.
dc.contributor.author Defterli, Özlem
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2016-06-09T07:50:24Z
dc.date.available 2016-06-09T07:50:24Z
dc.date.issued 2010-11
dc.identifier.citation Agrawal, O.P., Defterli, Ö., Baleanu, D. (2010). Fractional optimal control problems with several state and control variables. Journal of Vibration and Control, 16(13), 1967-1976. http://dx.doi.org/10.1177/1077546309353361 tr_TR
dc.identifier.issn 1077-5463
dc.identifier.uri http://hdl.handle.net/20.500.12416/1052
dc.description.abstract In many applications, fractional derivatives provide better descriptions of the behavior of dynamic systems than other techniques. For this reason, fractional calculus has been used to analyze systems having noninteger order dynamics and to solve fractional optimal control problems. In this study, we describe a formulation for fractional optimal control problems defined in multi-dimensions. We consider the case where the dimensions of the state and control variables are different from each other. Riemann-Liouville fractional derivatives are used to formulate the problem. The fractional differential equations involving the state and control variables are solved using Grunwald-Letnikov approximation. The performance of the formulation is shown using an example tr_TR
dc.language.iso eng tr_TR
dc.publisher Sage Publications LTD tr_TR
dc.relation.isversionof 10.1177/1077546309353361 tr_TR
dc.rights info:eu-repo/semantics/closedAccess
dc.subject Fractional Calculus tr_TR
dc.subject Fractional Hamiltonian tr_TR
dc.subject Fractional Optimal Control tr_TR
dc.subject Fractional Variational Principles tr_TR
dc.title Fractional optimal control problems with several state and control variables tr_TR
dc.type article tr_TR
dc.relation.journal Journal of Vibration and Control tr_TR
dc.contributor.authorID 31401 tr_TR
dc.identifier.volume 16 tr_TR
dc.identifier.issue 13 tr_TR
dc.identifier.startpage 1967 tr_TR
dc.identifier.endpage 1976 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümü tr_TR


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