Bringing one-optimal control problem for linear matrix singular perturbation of the system to the form of separation of variables

Yu. Korypaeva; A. Suslov

doi:10.12737/6357

BRINGING ONE-OPTIMAL CONTROL PROBLEM FOR LINEAR MATRIX SINGULAR PERTURBATION OF THE SYSTEM TO THE FORM OF SEPARATION OF VARIABLES Bringing one-optimal control problem for linear matrix singular perturbation of the system to the form of separation of variables

АА Аа

Published in Actual directions of scientific researches of the XXI century: theory and practice · Volume 2, Issue 5, p. 1 · Pages 112–114 · Rubric: Sekciya: «Effektivnye metody i instrumenty issledovaniya modeley sistem i mehanizmov»

DOI: https://doi.org/10.12737/6357

Received: 11.11.2014 Accepted: 11.11.2014 Published: 11.11.2014 Language of publication: RUS

Authors

Yu. Korypaeva

A. Suslov

Yu. Korypaeva

A. Suslov

ABSTRACT

The article deals with a cast-optimal control problem for a linear singularly perturbed system matrix to the form with separated variables.

KEYWORDS

optimal control, singular perturbations.

Text

УДК 517.928

Приведение одной задачи оптимального быстродействия для линейной матрично сингулярно возмущенной системы к виду с разделенными переменными

BRINGING ONE-optimal control problem for linear matrix singular perturbation of the system to the form of separation of variables

Корыпаева Ю.В., к. ф.-м. н., Суслов А.Ю.

ВУНЦ ВВС «ВВА имени профессора Н.Е. Жуковского и Ю.А. Гагарина»

г. Воронеж, Россия

ykorypaeva@mail.ru

DOI: 10.12737/6357

Аннотация: В статье рассматривается приведение одной задачи оптимального быстродействия для линейной матрично сингулярно возмущенной системы к виду с разделенными переменными.

Summary: The article deals with a cast-optimal control problem for a linear singularly perturbed system matrix to the form with separated variables.

Ключевые слова: оптимальное управление, сингулярные возмущения.

Keywords: optimal control, singular perturbations.

В классе одномерных кусочно-непрерывных управлений рассмотрим задачу оптимального быстродействия для следующей линейной матрично сингулярно возмущенной системы

1. Kurina G.A. Polnaya upravlyaemost´ lineynykh matrichno singulyarno vozmushchennykh sistem / G.A. Kurina. - Voronezh, 1987. - 7 s. - Dep. v VINITI 28.08.87, № 6373, V87.

2. Korypaeva Yu.V Asimptoticheskoe reshenie matrichno singulyarno vozmushchennykh lineynykh zadach optimal´nogo upravleniya s ogranicheniyami na upravlenie. Dissertatsiya na soiskanie stepeni kandidata fiziko-matematicheskikh nauk. - Voronezh, 2007 g.

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Responsible secretary

Igor Shanin

kingoao@mail.ru

This work is licensed under Creative Commons Attribution 4.0 International Creative Commons

GOST

Korypaeva Y., Suslov A. Bringing one-optimal control problem for linear matrix singular perturbation of the system to the form of separation of variables // Actual directions of scientific researches of the XXI century: theory and practice. 2014. no. 5. pp. 112-114. DOI: https://doi.org/10.12737/6357. (Date of access 01.10.2026).

MLA

Yu. Korypaeva, Suslov A.. "Bringing one-optimal control problem for linear matrix singular perturbation of the system to the form of separation of variables." Actual directions of scientific researches of the XXI century: theory and practice 2.5 (2014): 112-114. DOI: https://doi.org/10.12737/6357.

APA

Korypaeva Y., Suslov A. (2014). Bringing one-optimal control problem for linear matrix singular perturbation of the system to the form of separation of variables. Actual directions of scientific researches of the XXI century: theory and practice, 2(5), 112-114. https://doi.org/10.12737/6357

Chicago

Yu. Korypaeva, Suslov A.. "Bringing one-optimal control problem for linear matrix singular perturbation of the system to the form of separation of variables." Actual directions of scientific researches of the XXI century: theory and practice 2, no. 5 (2014): 112-114. https://doi.org/10.12737/6357.

WIKI

{{cite journal | author = Korypaeva Y., Suslov A. | title = Bringing one-optimal control problem for linear matrix singular perturbation of the system to the form of separation of variables | journal = Actual directions of scientific researches of the XXI century: theory and practice | year = 2014 | volume = 2 | issue = 5 | pages = 112-114 | doi = 10.12737/6357 }}

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BRINGING ONE-OPTIMAL CONTROL PROBLEM FOR LINEAR MATRIX SINGULAR PERTURBATION OF THE SYSTEM TO THE FORM OF SEPARATION OF VARIABLES Bringing one-optimal control problem for linear matrix singular perturbation of the system to the form of separation of variables

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