A simultaneously determination of the optimal trajectory and control for vibrating shell systems by measures

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dc.contributor.authorSahebi, H. R.
dc.contributor.authorEbrahimi, S.
dc.contributor.authorFakharzadeh J., A.
dc.date.accessioned2024-07-12T20:50:21Z
dc.date.available2024-07-12T20:50:21Z
dc.date.issued2009en_US
dc.departmentFakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn the recent decade, a considerable number of optimal control problems have been solved successfully based on the properties of the measures. This method, called embedding method, has many useful benefits like finding the global solution, a linear treatment even for the strong nonlinear problems and also easy calculations in the numerical schemes. But, in general, the method is not able to determine the optimal trajectory and control at the same time; moreover, it rarely uses the advantages of the classical solutions of the involved systems. In this article, for a wave control system governed by vibrating shell equations, we are going to present a new solution path by applying this method and also using the trigonometric series. First by considering all conditions, the problem is represented in a variational format in which the trajectory is shown by a trigonometric series with the unknown coefficients. Then the problem is converted into a measure theoretical optimization one that the unknowns are the mentioned coefficients and a positive radon measure. It is also proved that the new problem has the optimal solution and how one be able to identify the optimal trajectory and control simultaneously form the solution of a finite linear programming problem. In this manner some numerical examples are also given.en_US
dc.identifier.citationSahebi, H. R., Ebrahimi, S. ve Fakharzadeh J., A. (2009). A simultaneously determination of the optimal trajectory and control for vibrating shell systems by measures. Maltepe Üniversitesi. s. 182.en_US
dc.identifier.endpage183en_US
dc.identifier.isbn9.78605E+12
dc.identifier.startpage182en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12415/2322
dc.language.isoenen_US
dc.publisherMaltepe Üniversitesien_US
dc.relation.ispartofInternational Conference of Mathematical Sciencesen_US
dc.relation.publicationcategoryUluslararası Konferans Öğesi - Başka Kurum Yazarıen_US
dc.rightsCC0 1.0 Universal*
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/*
dc.snmzKY07687
dc.titleA simultaneously determination of the optimal trajectory and control for vibrating shell systems by measuresen_US
dc.typeConference Object
dspace.entity.typePublication

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