APPLICATION OF ELEMENTS OF LINEAR ALGEBRA IN CONTROL THEORY

Authors

  • B.A. Baibolotov ISU named after K.Tynystanov, Karakol c. Author
  • E.E. Madanbekova ISU named after K.Tynystanov, Karakol c. Author
  • E.T. Turatbekova ISU named after K.Tynystanov, Karakol c. Author

Keywords:

System of linear algebraic equations, matrix, variable, coefficient, method, conjugate, homogeneous, solution, control, system

Abstract

Controlt tasks are solved with the help of mathematical tools. The main form of presentation of the mathematical model of the system of automatic regulation is a differential equation. The use of transfer functions is accepted in the theory of automatic control. For their derivation, we use the methods of linear algebra. Linear algebra is a powerful mathematical tool widely used in various fields, including control theory. It provides a set of methods for modeling, analysis and control of dynamic systems. In the article, the use of linear algebra methods for solving control problems is considered.

References

1. Желтиков О.М. Основы теории управления. Конспект лекций/ О.М. Желтиков//–Самара,СГТУ,2008.–URL: http://www.jelomak.ru/pager.htm.

2. Маданбекова Э.Э., Башкаруу системаларындагы математикалык моделдердин элементтери. [текст]/ Э.Э.Маданбекова, А.Б. Байсеркеева, А.Т. Кочорбаева//«Известия вузов Кыргызстана», №2,Бишкек, 2022 (февраль)

3. Макарова, Л. Ф. Основы теории управления: сборник контрольных заданий / Л. Ф. Макарова.// – Изд. 2-е, перераб. и доп. – СПб. : СПбГТИ(ТУ), 2017. – 64 с.

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Published

2026-02-15