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A numerical scheme for two dimensional optimal control problems with memory effect

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dc.contributor.author Defterli, Özlem
dc.date.accessioned 2016-06-15T07:50:19Z
dc.date.available 2016-06-15T07:50:19Z
dc.date.issued 2010-04
dc.identifier.citation Defterli, Ö. (2010). A numerical scheme for two dimensional optimal control problems with memory effect.Computers&Mathematics With Applications, 59(8), 1630-1636. http://dx.doi.org/10.1016/j.camwa.2010.03.001 tr_TR
dc.identifier.issn 0898-1221
dc.identifier.uri http://hdl.handle.net/20.500.12416/1110
dc.description.abstract A new formulation for multi-dimensional fractional optimal control problems is presented in this article. The fractional derivatives which are coming from the formulation of the problem are defined in the Riemann–Liouville sense. Some terminal conditions are imposed on the state and control variables whose dimensions need not be the same. A numerical scheme is described by using the Grünwald–Letnikov definition to approximate the Riemann–Liouville Fractional Derivatives. The set of fractional differential equations, which are obtained after the discretization of the time domain, are solved within the Grünwald–Letnikov approximation to obtain the state and the control variable numerically. A two-dimensional fractional optimal control problem is studied as an example to demonstrate the performance of the scheme tr_TR
dc.language.iso eng tr_TR
dc.publisher Pergamon-Elsevier Science Ltd tr_TR
dc.relation.isversionof 10.1016/j.camwa.2010.03.001 tr_TR
dc.rights info:eu-repo/semantics/closedAccess
dc.subject Fractional Calculus tr_TR
dc.subject Fractional Hamiltonian tr_TR
dc.subject Variational Analysis tr_TR
dc.subject Optimal Control tr_TR
dc.subject Quadratic Performance Indices tr_TR
dc.title A numerical scheme for two dimensional optimal control problems with memory effect tr_TR
dc.type article tr_TR
dc.relation.journal Computers&Mathematics With Applications tr_TR
dc.contributor.authorID 31401 tr_TR
dc.identifier.volume 59 tr_TR
dc.identifier.issue 8 tr_TR
dc.identifier.startpage 1630 tr_TR
dc.identifier.endpage 1636 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümü tr_TR


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