Synthesis of optimal control for system of two step difference equations based on invariant manifold construction

Сайидов, О.Ж., Яхшибоев, М.У.

Рақамли технологияларнинг назарий ва амалий масалалари · 2026-yil

Annotatsiya

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.

Maqola ma’lumotlari
MualliflarСайидов, О.Ж., Яхшибоев, М.У.
JurnalРақамли технологияларнинг назарий ва амалий масалалари
NashriyotТАТУ Самарқанд филиали
ISSN2181-3086, 2181-3094
Nashr sanasi2026-03-02
Jild9
Son1
Betlar19-29
TilIngliz
Ilmiy sohaTexnika
DOI10.62132/ijdt.v9i1.319
Indeksga qo‘shilgan2026-08-26

DOI: 10.62132/ijdt.v9i1.319 · Maqolaning asl sahifasi

Kalit so‘zlar

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

Ilmiy soha

Texnika

Iqtibos keltirish

APAСайидов, О.Ж., & Яхшибоев, М.У. (2026). Synthesis of optimal control for system of two step difference equations based on invariant manifold construction. Рақамли технологияларнинг назарий ва амалий масалалари, 9(1), 19-29. https://doi.org/10.62132/ijdt.v9i1.319
GOST (OAK)Сайидов, О.Ж., Яхшибоев, М.У. Synthesis of optimal control for system of two step difference equations based on invariant manifold construction // Рақамли технологияларнинг назарий ва амалий масалалари. – 2026. – T. 9, № 1. – P. 19-29. – DOI: 10.62132/ijdt.v9i1.319.
MLAСайидов, О.Ж., and Яхшибоев, М.У. “Synthesis of optimal control for system of two step difference equations based on invariant manifold construction.” Рақамли технологияларнинг назарий ва амалий масалалари, 9(1), 19-29, 2026. https://doi.org/10.62132/ijdt.v9i1.319
ChicagoСайидов, О.Ж., and Яхшибоев, М.У. “Synthesis of optimal control for system of two step difference equations based on invariant manifold construction.” Рақамли технологияларнинг назарий ва амалий масалалари, 9(1), 19-29 (2026). https://doi.org/10.62132/ijdt.v9i1.319
HarvardСайидов, О.Ж., and Яхшибоев, М.У (2026) ‘Synthesis of optimal control for system of two step difference equations based on invariant manifold construction’, Рақамли технологияларнинг назарий ва амалий масалалари, 9(1), 19-29. https://doi.org/10.62132/ijdt.v9i1.319
BibTeX
@article{article2026,
  title = {Synthesis of optimal control for system of two step difference equations based on invariant manifold construction},
  author = {Сайидов, О.Ж. and Яхшибоев, М.У.},
  journal = {Рақамли технологияларнинг назарий ва амалий масалалари},
  year = {2026},
  volume = {9},
  number = {1},
  pages = {19-29},
  doi = {10.62132/ijdt.v9i1.319},
  url = {https://doi.org/10.62132/ijdt.v9i1.319}
}

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