Necessary conditions of second order optimality for systems with three-point boundary conditions

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dc.contributor.authorSharifov, Yagub A.
dc.contributor.authorDjabrailov, S. I.
dc.date.accessioned2024-07-12T20:51:36Z
dc.date.available2024-07-12T20:51:36Z
dc.date.issued2009en_US
dc.departmentFakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this report the object of investigation is an optimal control problem in systems of nonlinear first order ordinary differential equations with three-point boundary conditions: x? = f(x, u, t), x(t) ? R n , t ? T = [t0, t1], (1) Ax(t0) + Bx(t1) + Dx(t2) = c, t1 ? (t0, t2), (2) Here f ? R n is continuous by collection of variables together with its partial derivatives with respect to x and u up to the second order inclusive, A, B, D ? R n×n, c ? R n×1 are constant matrices. It is supposed that control action satisfy restriction u(t) ? V, t ? T , where V is a convex compact set from R r . The goal of optimal control problem is optimization of the functional: J(u) = ?(x(t0), x(t2)) (3) defined on the solutions of boundary problem (1)-(2) at admissible controls where it is supposed that function ?(x, y) is continuous by x and y up to the second order inclusive. The formula of the second order increment of functional (3) is calculated. On the basis of control variations there are obtained new necessary conditions of optimality for quasi-singular controls for systems which are described by a set of differential equations with three-point boundary conditions.en_US
dc.identifier.citationSharifov, Y. A. ve Djabrailov, S. I. (2009). Necessary conditions of second order optimality for systems with three-point boundary conditions. Maltepe Üniversitesi. s. 386.en_US
dc.identifier.endpage387en_US
dc.identifier.isbn9.78605E+12
dc.identifier.startpage386en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12415/2434
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.snmzKY07799
dc.titleNecessary conditions of second order optimality for systems with three-point boundary conditionsen_US
dc.typeConference Object
dspace.entity.typePublication

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