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.
| Mualliflar | Сайидов, О.Ж., Яхшибоев, М.У. |
|---|---|
| Jurnal | Рақамли технологияларнинг назарий ва амалий масалалари |
| Nashr sanasi | 2026-03-02 |
| Jild | 9 |
| Son | 1 |
| Betlar | 19-29 |
| Til | Rus |
| DOI | 10.62132/ijdt.v9i1.319 |
DOI: 10.62132/ijdt.v9i1.319 · Maqolaning asl sahifasi
оптимальное управление, инвариантное многообразие, функционал Лагранжа, расщепления решения системы на положительно и отрицательно определенные типы, синтез, optimal control, invariant variety, Lagrange functional, splitting the solution of a system into positively and negatively defined types, synthesis
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