NEWTON’S METHOD FOR SOLVING A CONTROL PROBLEM UNDER PIECEWISE-IN-TIME DEFINED ACTIONS

In this paper we propose an approach to the numerical solution of one class of optimal control problems based on the use of Newton’s method. The problem is described by a system of ordinary differential equations. The parameters of control actions from the class of piecewise defined functions as wel...

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Главные авторы:	Khandzel, A. V., Хандзель, А. В.
Формат:	Статья
Язык:	English
Опубликовано:	L.N. Gumilyov Eurasian National University 2025
Темы:	Functional gradient Second-order method Hesse matrix Newton’s method Runge-Kutta method
Online-ссылка:	https://dspace.ncfu.ru/handle/123456789/30450
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spelling	ir-123456789-304502025-05-13T11:13:54Z NEWTON’S METHOD FOR SOLVING A CONTROL PROBLEM UNDER PIECEWISE-IN-TIME DEFINED ACTIONS Khandzel, A. V. Хандзель, А. В. Functional gradient Second-order method Hesse matrix Newton’s method Runge-Kutta method In this paper we propose an approach to the numerical solution of one class of optimal control problems based on the use of Newton’s method. The problem is described by a system of ordinary differential equations. The parameters of control actions from the class of piecewise defined functions as well as the boundaries of intervals of constancy of control actions are to be optimized. Formulas for gradient components and Hesse matrix of the objective functional in the space of optimized parameters are obtained. Comparative results of computer experiments are given. 2025-05-13T11:12:51Z 2025-05-13T11:12:51Z 2025 Статья Aida-zade K., Handzel А. NEWTON’S METHOD FOR SOLVING A CONTROL PROBLEM UNDER PIECEWISE-IN-TIME DEFINED ACTIONS // Eurasian Journal of Mathematical and Computer Applications. - 2025. - 13 (1). - pp. 4 - 16. - DOI: 10.32523/2306-6172-2025-13-1-4-16 https://dspace.ncfu.ru/handle/123456789/30450 en Eurasian Journal of Mathematical and Computer Applications application/pdf application/pdf L.N. Gumilyov Eurasian National University
institution	СКФУ
collection	Репозиторий
language	English
topic	Functional gradient Second-order method Hesse matrix Newton’s method Runge-Kutta method
spellingShingle	Functional gradient Second-order method Hesse matrix Newton’s method Runge-Kutta method Khandzel, A. V. Хандзель, А. В. NEWTON’S METHOD FOR SOLVING A CONTROL PROBLEM UNDER PIECEWISE-IN-TIME DEFINED ACTIONS
description	In this paper we propose an approach to the numerical solution of one class of optimal control problems based on the use of Newton’s method. The problem is described by a system of ordinary differential equations. The parameters of control actions from the class of piecewise defined functions as well as the boundaries of intervals of constancy of control actions are to be optimized. Formulas for gradient components and Hesse matrix of the objective functional in the space of optimized parameters are obtained. Comparative results of computer experiments are given.
format	Статья
author	Khandzel, A. V. Хандзель, А. В.
author_facet	Khandzel, A. V. Хандзель, А. В.
author_sort	Khandzel, A. V.
title	NEWTON’S METHOD FOR SOLVING A CONTROL PROBLEM UNDER PIECEWISE-IN-TIME DEFINED ACTIONS
title_short	NEWTON’S METHOD FOR SOLVING A CONTROL PROBLEM UNDER PIECEWISE-IN-TIME DEFINED ACTIONS
title_full	NEWTON’S METHOD FOR SOLVING A CONTROL PROBLEM UNDER PIECEWISE-IN-TIME DEFINED ACTIONS
title_fullStr	NEWTON’S METHOD FOR SOLVING A CONTROL PROBLEM UNDER PIECEWISE-IN-TIME DEFINED ACTIONS
title_full_unstemmed	NEWTON’S METHOD FOR SOLVING A CONTROL PROBLEM UNDER PIECEWISE-IN-TIME DEFINED ACTIONS
title_sort	newton’s method for solving a control problem under piecewise-in-time defined actions
publisher	L.N. Gumilyov Eurasian National University
publishDate	2025
url	https://dspace.ncfu.ru/handle/123456789/30450
work_keys_str_mv	AT khandzelav newtonsmethodforsolvingacontrolproblemunderpiecewiseintimedefinedactions AT handzelʹav newtonsmethodforsolvingacontrolproblemunderpiecewiseintimedefinedactions
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NEWTON’S METHOD FOR SOLVING A CONTROL PROBLEM UNDER PIECEWISE-IN-TIME DEFINED ACTIONS

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