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dc.contributor.authorPolat, Gülden Gün
dc.contributor.authorÖzer, Teoman
dc.date.accessioned2020-01-28T09:19:03Z
dc.date.available2020-01-28T09:19:03Z
dc.date.issued2020-01-02
dc.identifier27tr_TR
dc.identifier.issn1402-9251
dc.identifier.urihttps://hdl.handle.net/11413/6158
dc.description.abstractIn this study, we pay attention to novel explicit closed-form solutions of optimal control problems in economic growth models described by Hamiltonian formalism by utilizing mathematical approaches based on the theory of Lie groups. For this analysis, the Hamiltonian functions, which are used to define an optimal control problem, are considered in two different types, namely, the current and present value Hamiltonians. Furthermore, the first-order conditions (FOCs) that deal with Pontrygain maximum principle satisfying both Hamiltonian functions are considered. FOCs for optimal control in the problem are studied here to deal with the first-order coupled systems. This study mainly focuses on the analysis of these systems concerning for to the theory of symmetry groups and related analytical approaches. First, Lie point symmetries of the first-order coupled systems are derived, and then by using the relationships between symmetries and Jacobi last multiplier method, the first integrals and corresponding invariant solutions for two different economic models are investigated. Additionally, the solutions of initial-value problems based on the transversality conditions in the optimal control theory of economic growth models are analyzed.
dc.language.isoen_UStr_TR
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectNonlinear Optimal Control Problems
dc.subjectTheory of Lie Groups
dc.subjectDynamic Optimization
dc.subjectHamiltonian Formalism
dc.subjectPontryagin?s
dc.subjectMaximum Principle
dc.subjectEconomic Growth Models
dc.titleThe group-theoretical analysis of nonlinear optimal control problems with hamiltonian formalism
dc.typeArticletr_TR
dc.contributor.authorID166389tr_TR
dc.contributor.authorID153145tr_TR
dc.relation.journalJournal of Nonlinear Mathematicaltr_TR
local.journal.issue1tr_TR
local.journal.startpage106tr_TR
local.journal.endpage129tr_TR
dc.identifier.wos000492440100008
dc.identifier.scopus2-s2.0-85074490282


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Attribution-NonCommercial-NoDerivs 3.0 United States
Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivs 3.0 United States