POSITIONAL IMPULSE AND DISCONTINUOUS CONTROLS FOR DIFFERENTIAL INCLUSION
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 f...
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| Format: | Article |
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Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and Mechanics
2020-12-01
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| Series: | Ural Mathematical Journal |
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| Online Access: | https://umjuran.ru/index.php/umj/article/view/306 |
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| author | Ivan A. Finogenko Alexander N. Sesekin |
| author_facet | Ivan A. Finogenko Alexander N. Sesekin |
| author_sort | Ivan A. Finogenko |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-ce4b57fc17ac424a99a36f4fac3241ec |
| institution | Kabale University |
| issn | 2414-3952 |
| language | English |
| publishDate | 2020-12-01 |
| publisher | Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and Mechanics |
| record_format | Article |
| series | Ural Mathematical Journal |
| spelling | doaj-art-ce4b57fc17ac424a99a36f4fac3241ec2025-08-20T03:38:43ZengUral Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and MechanicsUral Mathematical Journal2414-39522020-12-016210.15826/umj.2020.2.007106POSITIONAL IMPULSE AND DISCONTINUOUS CONTROLS FOR DIFFERENTIAL INCLUSIONIvan A. Finogenko0Alexander N. Sesekin1Matrosov Institute for System Dynamics and Control Theory, Siberian Branch of Russian Academy of Sciences, 134 Lermontova Str., Irkutsk, 664033Ural Federal University, 19 Mira Str., Ekaterinburg, 620002; Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, 16 S. Kovalevskaya Str., Ekaterinburg, 620108Nonlinear 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.https://umjuran.ru/index.php/umj/article/view/306impulse position control, discontinuous position control, differential inclusion, impulse-sliding regime, sliding regime |
| spellingShingle | Ivan A. Finogenko Alexander N. Sesekin POSITIONAL IMPULSE AND DISCONTINUOUS CONTROLS FOR DIFFERENTIAL INCLUSION Ural Mathematical Journal impulse position control, discontinuous position control, differential inclusion, impulse-sliding regime, sliding regime |
| title | POSITIONAL IMPULSE AND DISCONTINUOUS CONTROLS FOR DIFFERENTIAL INCLUSION |
| title_full | POSITIONAL IMPULSE AND DISCONTINUOUS CONTROLS FOR DIFFERENTIAL INCLUSION |
| title_fullStr | POSITIONAL IMPULSE AND DISCONTINUOUS CONTROLS FOR DIFFERENTIAL INCLUSION |
| title_full_unstemmed | POSITIONAL IMPULSE AND DISCONTINUOUS CONTROLS FOR DIFFERENTIAL INCLUSION |
| title_short | POSITIONAL IMPULSE AND DISCONTINUOUS CONTROLS FOR DIFFERENTIAL INCLUSION |
| title_sort | positional impulse and discontinuous controls for differential inclusion |
| topic | impulse position control, discontinuous position control, differential inclusion, impulse-sliding regime, sliding regime |
| url | https://umjuran.ru/index.php/umj/article/view/306 |
| work_keys_str_mv | AT ivanafinogenko positionalimpulseanddiscontinuouscontrolsfordifferentialinclusion AT alexandernsesekin positionalimpulseanddiscontinuouscontrolsfordifferentialinclusion |