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Publication year : 2017 ✕Researcher : Elmira ABDILDAYEVA ✕
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Doç. Dr. Elmira ABDILDAYEVAFen Fakültesi
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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.

Proceedings Paper 2017 Fen Fakültesi AIP Conference Proceedings1880 ( 1 ) 66 Views
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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 ...More

Proceedings Paper 2017 Fen Fakültesi IFIP Advances in Information and Communication Technology494 66 Views
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The formula for solving a class of Riccati equation

Avıt ASANOV | Elmira ABDILDAYEVA | Kalıskan MATANOVA

In this paper we obtained a formula for the general solution for one class of Riccati equation. This formula was tested on the known results. The existence theorem of solution of Cauchy problem is proved. - Key words: Riccati equation, the general solution, the Cauchy problem

Article 2017 Fen Fakültesi Молодой учёный136 ( 2 ) 75 Views
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Приближенные решения задачи граничного векторного управления упругими колебаниями, описываемыми фредгольмовыми интегро-дифференциальными уравнениями

Elmira ABDILDAYEVA

В статье рассматривается задача нелинейной оптимизации с граничным векторным управлением, когда управляемый колебательный процесс описывается фредгольмовым интегро-дифференциальным уравнением.  Разработан  алгоритм построения приближенных  решений  задачи  нелинейной оптимизации и доказана их сходимость к точному решению по оптимальному управлению, по оптимальному процессу и по функционалу.- Ключевые слова:  граничное векторное управление, функционал, приближенное решение, сходимость. In the article we consider the nonlinear optimization problem with boundary vector control, when controllable ...More

Article 2017 Fen Fakültesi Естественные и математические науки в современном мире48 ( 1 ) 52 Views
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