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Базы данных : Springer ✕Ученые : Elmira ABDILDAYEVA ✕
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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 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 Solvability of Tracking Problem with Nonlinearly Distributed Control for the Oscillation Process

Elmira ABDILDAYEVA

In the paper we investigate the unique solvability of the tracking problem with the distributed optimal control for the elastic oscillations described by Fredholm integro-differential equations. The sufficient conditions are found for existence of a unique solution to the boundary value problem, also the class of functions of external influence for which the optimization problem has a solution. The algorithm was developed for constructing the complete solution of the tracking problem of nonlinear optimization.

Глава книги 2019 Fen Fakültesi Trends in Mathematics 55 Просмотры
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