Discrete optimal control problem with uncertain  quality criteria

A. Abdurakhimov; A. Sobirov

doi:10.12737/14441

DISCRETE OPTIMAL CONTROL PROBLEM WITH UNCERTAIN QUALITY CRITERIA Discrete optimal control problem with uncertain quality criteria

АА Аа

Published in Actual directions of scientific researches of the XXI century: theory and practice · Volume 3, Issue 5, p. 1 · Pages 8–13 · Rubric: Sekciya: «Kachestvennaya teoriya dinamicheskih sistem»

DOI: https://doi.org/10.12737/14441

Received: 06.11.2015 Accepted: 06.11.2015 Published: 06.11.2015 Language of publication: RUS

Authors

A. Abdurakhimov

A. Sobirov

A. Abdurakhimov

A. Sobirov

ABSTRACT

The article discusses the discrete optimal control problem, the quality criterion which includes uncontrolled indignation. Implemented adaptive method with a position of guaranteed result. Received package necessary optimality condition for solving problems.

KEYWORDS

discrete task, quality criteriа, perturbation, reference control, optimal control, smoothing, linearization, optimality conditions.

Text

СЕКЦИЯ «КАЧЕСТВЕННАЯ ТЕОРИЯ ДИНАМИЧЕСКИХ СИСТЕМ»

УДК: 517.977

ДИСКРЕТНАЯ ЗАДАЧА ОПТИМАЛЬНОГО УПРАВЛЕНИЯ С НЕОПРЕДЕЛЁННЫМ КРИТЕРИЯМ КАЧЕСТВА

DISCRETE OPTIMAL CONTROL PROBLEM WITH UNCERTAIN

QUALITY CRITERIA

Абдурахимов А.О., к.ф.-м.н., доцент

Собиров А.С., магистрант

Курган-Тюбинский госуниверситет имени Носира Хусрава

г. Курган-Тюбе, Таджикистан

alimurod60@mail.ru , ilmddk13@mail.ru

DOI: 10.12737/14441

Аннотация: В статье рассматривается дискретная задача оптимального управления, критерия качества в которой содержит неконтролируемые возмущения. Реализуется адаптивный метод с позиции получения гарантированного результата. Получено пакетное необходимое условие оптимальности для решения задач.

Summary: The article discusses the discrete optimal control problem, the quality criterion which includes uncontrolled indignation. Implemented adaptive method with a position of guaranteed result. Received package necessary optimality condition for solving problems.

Ключевые слова: дискретная задача, критерия качества, возмущения, опорное управление, оптимальное управление, сглаживание,линеаризация, условия оптимальности.

Keywords: discrete task, quality criteriа, perturbation, reference control, optimal control, smoothing, linearization, optimality conditions.

Пусть ; заданные конечные множества индексов; , векторы; матрицы, , - скаляры; , - квадратичные функции переменных

1. Gabasov R., Kirillova F.M. Optimizatsiya lineynykh sistem. Minsk: izd-vo BGU, 1973.- 248 s.

2. Gabasov R., Kirillova F. M., Kostyukova O. I., Raketskiy V.M., Tyatyushkin A. I. Konstruktivnye metody optimizatsii. Ch.I-IV. - Minsk, Universitetskoe, 1984, 1986, 1987.

3. Abdurakhimov A. O. Garantirovannaya minimizatsiya sovokupnosti kvadratichnykh funktsiy// Vestnik Belorus. un-ta. ser.1: Fiz. mat. Mekh.1991. № 2.- str.67-70.

4. Abdurakhimov A. O. Postroenie garantirovannykh resheniy dlya dvukh klassov ekstremal´nykh zadach// Vestnik Belorus. un-ta.-Minsk, 1991. Dep.v VINITI V91. № 1256-V91.

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GOST

Abdurakhimov A., Sobirov A. Discrete optimal control problem with uncertain quality criteria // Actual directions of scientific researches of the XXI century: theory and practice. 2015. no. 5. pp. 8-13. DOI: https://doi.org/10.12737/14441. (Date of access 21.10.2026).

MLA

A. Abdurakhimov, Sobirov A.. "Discrete optimal control problem with uncertain quality criteria." Actual directions of scientific researches of the XXI century: theory and practice 3.5 (2015): 8-13. DOI: https://doi.org/10.12737/14441.

APA

Abdurakhimov A., Sobirov A. (2015). Discrete optimal control problem with uncertain quality criteria. Actual directions of scientific researches of the XXI century: theory and practice, 3(5), 8-13. https://doi.org/10.12737/14441

Chicago

A. Abdurakhimov, Sobirov A.. "Discrete optimal control problem with uncertain quality criteria." Actual directions of scientific researches of the XXI century: theory and practice 3, no. 5 (2015): 8-13. https://doi.org/10.12737/14441.

WIKI

{{cite journal | author = Abdurakhimov A., Sobirov A. | title = Discrete optimal control problem with uncertain quality criteria | journal = Actual directions of scientific researches of the XXI century: theory and practice | year = 2015 | volume = 3 | issue = 5 | pages = 8-13 | doi = 10.12737/14441 }}

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DISCRETE OPTIMAL CONTROL PROBLEM WITH UNCERTAIN QUALITY CRITERIA Discrete optimal control problem with uncertain quality criteria

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