Local generalization of transversality conditions for optimal control problem

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creativework.keywordsConformable calculus of variations, Conformable derivative, Conformable optimal control, Fractional order, Transversality conditions
creativework.publisherEDP Sciencesen
dc.contributor.authorKumar D.
dc.contributor.authorBaleanu D.
dc.contributor.authorHristov J.
dc.contributor.authorNieto J.J.
dc.contributor.authorOzdemir N.
dc.contributor.authorIskender Eroglu B.B.
dc.contributor.authorYapişkan D.
dc.date.accessioned2024-07-10T14:27:04Z
dc.date.accessioned2024-07-10T14:49:06Z
dc.date.available2024-07-10T14:27:04Z
dc.date.available2024-07-10T14:49:06Z
dc.date.issued2019-01-01
dc.description.abstractIn this paper, we introduce the transversality conditions of optimal control problems formulated with the conformable derivative. Since the optimal control theory is based on variational calculus, the transversality conditions for variational calculus problems are first investigated and then supported by some illustrative examples. Utilizing from these formulations, the transversality conditions for optimal control problems are attained by using the Hamiltonian formalism and Lagrange multiplier technique. To illustrate the obtained results, the dynamical system on which optimal control problem constructed is taken as a diffusion process modeled in terms of the conformable derivative. The optimal control law is achieved by analytically solving the time dependent conformable differential equations occurring from the eigenfunction expansions of the state and the control functions. All figures are plotted using MATLAB.
dc.identifier.doi10.1051/mmnp/2019013
dc.identifier.issn1760-6101
dc.identifier.issn0973-5348
dc.identifier.scopusSCOPUS_ID:85065246994en
dc.identifier.urihttps://rlib.uctm.edu/handle/123456789/528
dc.language.isoen
dc.source.urihttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85065246994&origin=inward
dc.titleLocal generalization of transversality conditions for optimal control problem
dc.typeArticle
oaire.citation.issue3
oaire.citation.volume14
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