Рақамли технологияларнинг назарий ва амалий масалалари Том 9 № 1 (2026) · с. 19-29
Synthesis of optimal control for system of two step difference equations based on invariant manifold construction
Сайидов, О.Ж., Яхшибоев, М.У.
Аннотация
The paper considers controlled systems of two step difference equations. An approach to the synthesis of optimal control based on the construction of an invariant manifold is proposed. Necessary and sufficient optimality conditions are obtained, and solutions of a system of two step difference equations are split into positively and negatively defined types. In addition, numerical and analytical methods for the synthesis of optimal control are proposed. In the course of the work, an example of a solution based on the results obtained is considered.
оптимальное управлениеинвариантное многообразиефункционал Лагранжарасщепления решения системы на положительно и отрицательно определенные типысинтезoptimal controlinvariant varietyLagrange functionalsplitting the solution of a system into positively and negatively defined typessynthesis
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