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http://elar.urfu.ru/handle/10995/95303
Название: | Positional Impulse and Discontinuous Controls for Differential Inclusion |
Авторы: | Finogenko, Ivan A. Sesekin, Alexander N. |
Дата публикации: | 2020 |
Издатель: | N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of Russian Academy of Sciences Ural Federal University named after the first President of Russia B.N. Yeltsin |
Библиографическое описание: | Finogenko I. A. Positional Impulse and Discontinuous Controls for Differential Inclusion / Ivan A. Finogenko, Alexander N. Sesekin. — DOI 10.15826/umj.2020.2.007. — Text : electronic // Ural Mathematical Journal. — 2020. — Volume 6. — № 2. — С. 68-75. |
Аннотация: | Nonlinear control systems presented in the form of differential inclusions with impulse or discontinuous positional controls are investigated. The formalization of the impulse-sliding regime is carried out. In terms of the jump function of the impulse control, the differential inclusion is written for the ideal impulse-sliding regime. The method of equivalent control for differential inclusion with discontinuous positional controls is used to solve the question of the existence of a discontinuous system for which the ideal impulse-sliding regime is the usual sliding regime. The possibility of the combined use of the impulse-sliding and sliding regimes as control actions in those situations when there are not enough control resources for the latter is discussed. |
Ключевые слова: | IMPULSE POSITION CONTROL DISCONTINUOUS POSITION CONTROL DIFFERENTIAL INCLUSION IMPULSE-SLIDING REGIME SLIDING REGIME |
URI: | http://elar.urfu.ru/handle/10995/95303 |
Условия доступа: | Creative Commons Attribution License |
Текст лицензии: | https://creativecommons.org/licenses/by/4.0/ |
ISSN: | 2414-3952 |
DOI: | 10.15826/umj.2020.2.007 |
Сведения о поддержке: | This work was supported by Russian Foundation for Basic Research (project No.19-01-00371). |
Источники: | Ural Mathematical Journal. 2020. Volume 6. № 2 |
Располагается в коллекциях: | Ural Mathematical Journal |
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umj_2020_6_2_68-75.pdf | 131,38 kB | Adobe PDF | Просмотреть/Открыть |
Лицензия на ресурс: Лицензия Creative Commons