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Source : Trends in Mathematic ... ✕Department : Matematik Bölümü ✕
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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 ...More

Chapter of Books 2022 Fen Fakültesi Trends in Mathematics 59 Views
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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.

Chapter of Books 2019 Fen Fakültesi Trends in Mathematics 55 Views
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