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dc.contributor.authorRazminia, Abolhassan
dc.contributor.authorAsadizadehshiraz, Mehdi
dc.contributor.authorTorres, Delfim F. M.
dc.date.accessioned2019-03-17T10:58:35Z
dc.date.available2019-03-17T10:58:35Z
dc.date.copyright11/28/2018 12:00:00 AM
dc.date.issued2019
dc.identifier.issn1555-1415
dc.identifier.othercnd_014_01_011005.pdf
dc.identifier.urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4256473
dc.description.abstractWe consider an extension of the well-known Hamilton–Jacobi–Bellman (HJB) equation for fractional order dynamical systems in which a generalized performance index is considered for the related optimal control problem. Owing to the nonlocality of the fractional order operators, the classical HJB equation, in the usual form, does not hold true for fractional problems. Effectiveness of the proposed technique is illustrated through a numerical example.
dc.publisherThe American Society of Mechanical Engineers (ASME)
dc.titleFractional Order Version of the Hamilton–Jacobi–Bellman Equation
dc.typeJournal Paper
dc.journal.volume14
dc.journal.issue1
dc.journal.titleJournal of Computational and Nonlinear Dynamics
dc.identifier.doi10.1115/1.4041912
dc.journal.fristpage11005
dc.journal.lastpage011005-6
dc.treeJournal of Computational and Nonlinear Dynamics:;2019:;volume( 014 ):;issue: 001
dc.contenttypeFulltext


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