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Найденный: 20 Экземпляр 0.002 sn
Кафедра : Matematik Bölümü ✕Ученые : Elmira ABDILDAYEVA ✕
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Тематический рубрикатор [35]
Doç. Dr. Elmira ABDILDAYEVAFen Fakültesi
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The Optimal Vector Control for the Elastic Oscillations Described by Fredholm Integral-Differential Equations

Elmira ABDILDAYEVA

In this paper, we investigate the nonlinear problem of the optimal vector control for oscillation processes described by Fredholm integro-differential equations in partial derivatives when function of external sources nonlinearly depend on control parameters. It was found that the system of nonlinear integral equations,which obtained relatively to the components of the optimal vector control, have the property of equal relations. This fact lets us to simplify the procedure of the constructing the solution of the nonlinear optimization problem. We have developed algorithm for constructing the s ...Более

Доклады конференции 2019 Fen Fakültesi Analysis and Partial Differential Equations: Perspectives from Developing Countries275 17 Просмотры
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On the Solvability of the Synthesis Problem for Optimal Control Systems with Distributed Parameters

Elmira ABDILDAYEVA

The solvability of synthesis problem of external and boundary controls is investigated for optimization of oscillation process, described by partial differential equations with Fredholm integral operator. Functions of the external and boundary actions are nonlinearly with respect to control. An integro-differential equation is obtained in the specific type for Bellman functional. An algorithm is developed for constructing solutions to synthesis problem of external and boundary controls. Keywords: Generalized solution, Bellman functional, Frechet differential, Integro-differential equation, Fre ...Более

Глава книги 2022 Fen Fakültesi Trends in Mathematics 59 Просмотры
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On the solvability of a nonlinear optimization problem with boundary vector control of oscillatory processes = О разрешимости задачи нелинейной оптимизации при граничном векторном управлении колебательными процессами = Тербелмелi процестердi шекаралық векторлық басқарумен сызықтыемес оңтайландыру есебiнiң шешiмi туралы

Elmira ABDILDAYEVA

In the paper, the solvability of the nonlinear boundary optimization problem has been investigated for the oscillation processes, described by the integro-differential equation in partial derivatives with Fredholm integral operator. It has been established that the components of the boundary vector control are defined as a solution to a system of nonlinear integral equations of a specific form, and the equations of this system have the property of equal relations. An algorithm for constructing a solution to the problem of nonlinear optimization has been developed. Keywords: general solution; n ...Более

Статья 2023 Fen Fakültesi Bulletin of the Karaganda University - Mathematics / Вестник Карагандинского университета. Серия Математика109 ( 1 ) 38 Просмотры
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On the Solvability of a Boundary Value Problem for Nonlinear Optimization of Oscillatory Processes

Elmira ABDILDAYEVA

The paper investigates the solvability of a boundary value problem in the control of an oscillatory process described by control in partial derivatives of the first order. It has been established that there are an infinite set of controls, as solutions to the system of nonlinear Fredholm integral equations of the first kind, each of which transfers the controlled process from the initial state to the final specified state in a specified time. Sufficient conditions for the existence of a nonlinear optimization solution are found.

Доклады конференции 2024 Fen Fakültesi AIP Conference Proceedings3085 ( 1 ) 3 Просмотры
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On Solvability of Optimization Problem for Elastic Oscillations with Multipoint Sources of Control

Elmira ABDILDAYEVA

In the paper we investigate the optimal control problem for elastic oscillation under multipoint influences of external forces when oscillation process is described by Fredholm integro-differential equation. Sufficient conditions for unique solvability of nonlinear optimization problem were found and the algorithm for constructing complete solution to this problem was developed.

Доклады конференции 2017 Fen Fakültesi AIP Conference Proceedings1880 ( 1 ) 66 Просмотры
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On the Solvability of a Nonlinear Tracking Problem Under Boundary Control for the Elastic Oscillations Described by Fredholm Integro-Differential Equations

Elmira ABDILDAYEVA

In the present paper we investigate nonlinear tracking problem under boundary control for the oscillation processes described by Fredholm integro-differential equations. When we investigate this problem we use notion of a weak generalized solution of the boundary value problem. Based on the maximum principle for distributed systems we obtain optimality conditions from which follow the nonlinear integral equation of optimal control and the differential inequality.We have developed an algorithm to construct the optimization problem solution. This solving method of a nonlinear tracking problem is ...Более

Доклады конференции 2017 Fen Fakültesi IFIP Advances in Information and Communication Technology494 66 Просмотры
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On the property of equal ratios in the problem of boundary vector control of elastic vibrations described by Fredholm integro-differential equations = О равных отношениях в задаче граничного векторного управления упругими колебаниями, описываемыми фредгольмовыми интегро-дифференциальными уравнениями

Elmira ABDILDAYEVA

В статье исследуется нелинейная задача оптимального управления упругими колебаниями, описываемыми фредгольмовыми интегро-дифференциальными уравнениями в случае, когда управление осуществляется граничными источниками. В исследовании использовано понятие обобщенного решения краевой задачи управляемого процесса. На основе принципа максимума для систем с распределенными параметрами получены условия оптимальности в виде систем равенств и неравенств. Обнаружено, что условия оптимальности в виде равенств обладают свойством равных отношений. Это обстоятельство позволило упростить процедуру построения ...Более

Статья 2016 Fen Fakültesi Труды Института математики и механики УрО РАН22 ( 2 ) 65 Просмотры
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On the Solvability of a Nonlinear Optimization Problem for Thermal Processes Described by Fredholm Integro-Differential Equations with External and Boundary Controls

Elmira ABDILDAYEVA

In the present paper we studied the problem of nonlinear optimal control of the thermal processes described by Fredholm integro-differential equations when the control parameters are nonlinearly included into the equation as well as into the boundary condition. The concept of weak generalized solution of the boundary value problem is introduced and the algorithm for its construction is indicated. It is established that optimal control is defined as the solution of the system of nonlinear integral equations which contain unknown functions under and out of the integral and satisfy the additional ...Более

Статья 2016 Fen Fakültesi Applied Mathematics and Information Sciences10 ( 1 ) 26 Просмотры
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Optimal distributed control for the processes of oscillation described by Fredholm integro-differential equations

Elmira ABDILDAYEVA

In this paper we investigate the problem of distributed optimal control for the oscillation processes described by Fredholm integro-differential equations with partial derivatives when the function of the external source depends nonlinearly on the control parameters. We have developed an algorithm for finding approximate solutions of nonlinear optimization problems with arbitrary precision. The developed method of solving nonlinear optimization problems is constructive and can be used in applications. - Keywords and phrases: boundary value problem, generalized solution, approximate solutions, ...Более

Статья 2015 Fen Fakültesi Eurasian Mathematical Journal6 ( 2 ) 84 Просмотры
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Trigonometrik Denklem Sistemlerinin Çözümünde Görsel ve Analitik Uygulama Üzerine Bir Çalışma = Study on the Visual and Analytical Application for Solution of Trigonometric Equation Systems

Ahmet DOĞAN | Elmira ABDILDAYEVA

Solving trigonometric equations, diagrams, and graphics and visual images in the form of a better understanding of the problem as well as strategies for providing the information to be permanent. The graphical approach to the solution of equation system gives a wider perspective, conceptual learning, and facilitates the transfer of information . In this study, f (cosθ, sinθ) = 0, g (cosθ, sinθ) = 0, the two-equation system analytical transformations made a trigonometric equation f (x, y) = 0, g (x, y) = 0 equations created . These new correlations perpendicular to the same coordinate system, d ...Более

Статья 2013 Fen Fakültesi MANAS Journal of Engineering (MJEN)1 ( 1 ) 86 Просмотры
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О разрешимости задачи синтеза при нелинейной оптимизации колебательных процессов, описываемых интегро-дифференциальными уравнениями

Elmira ABDILDAYEVA

Исследованы вопросы разрешимости задачи синтеза распределенного и граничного управлений при минимизации кусочно линейного функционала в случае управления колебательными процессами, описываемыми интегро-дифференциальными уравнениями в частных производных с интегральным оператором Фредгольма. Для функционала Беллмана получено интегро-дифференциальное уравнение специфического вида. Описан алгоритм построения решения задачи синтеза распределенного и граничного управлений, изложена процедура определения управлений как функций (функционалов) от состояния управляемого процесса.

Статья 2022 Fen Fakültesi Итоги науки и техники. Современная математика и ее приложения. Тематические обзоры213 94 Просмотры
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Solvability of Optimization Problem for the Oscillation Processes with Optimal Vector Controls

Elmira ABDILDAYEVA | Akılbek KERİMBEKOV

The optimal control problem is investigated for oscillation processes, described by integro-differential equations with the Fredholm operator when functions of external and boundary sources non-linearly depend on components of optimal vector controls. Optimality conditions having specific properties in the case of vector controls were found. A sufficient condition is established for unique solvability of the nonlinear optimization problem and its complete solution is constructed in the form of optimal control, an optimal process, and a minimum value of the functional.

Статья 2019 Fen Fakültesi Filomat33 ( 5 ) 115 Просмотры
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