IMPULSE–SLIDING REGIMES IN SYSTEMS WITH DELAY
The paper is devoted to the formalization of a concept of impulse-sliding regimes generated by positional impulse controls for systems with delay. We define the notion of impulse-sliding trajectory as a limit of a sequence of Euler polygonal lines generated by a discrete approximation of the impulse...
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| Format: | Article |
| Language: | English |
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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
2016-11-01
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| Series: | Ural Mathematical Journal |
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| Online Access: | https://umjuran.ru/index.php/umj/article/view/58 |
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| author | Alexander N. Sesekin Natalya I. Zhelonkina |
| author_facet | Alexander N. Sesekin Natalya I. Zhelonkina |
| author_sort | Alexander N. Sesekin |
| collection | DOAJ |
| description | The paper is devoted to the formalization of a concept of impulse-sliding regimes generated by positional impulse controls for systems with delay. We define the notion of impulse-sliding trajectory as a limit of a sequence of Euler polygonal lines generated by a discrete approximation of the impulse position control. The equations describing the trajectory of impulse-sliding regime are received. |
| format | Article |
| id | doaj-art-a86b867a40184d6d8ff201ef50f38e31 |
| institution | DOAJ |
| issn | 2414-3952 |
| language | English |
| publishDate | 2016-11-01 |
| 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-a86b867a40184d6d8ff201ef50f38e312025-08-20T02:51:49ZengUral 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 Journal2414-39522016-11-012210.15826/umj.2016.2.01217IMPULSE–SLIDING REGIMES IN SYSTEMS WITH DELAYAlexander N. Sesekin0Natalya I. Zhelonkina1Krasovskii Institute of Mathematics and Mechanics, Ural Branch of Russian Academy of Sciences, EkaterinburgKrasovskii Institute of Mathematics and Mechanics, Ural Branch of Russian Academy of Sciences, EkaterinburgThe paper is devoted to the formalization of a concept of impulse-sliding regimes generated by positional impulse controls for systems with delay. We define the notion of impulse-sliding trajectory as a limit of a sequence of Euler polygonal lines generated by a discrete approximation of the impulse position control. The equations describing the trajectory of impulse-sliding regime are received.https://umjuran.ru/index.php/umj/article/view/58Impulse position control, Systems with delay, Impulse-sliding regime, The Euler polygons |
| spellingShingle | Alexander N. Sesekin Natalya I. Zhelonkina IMPULSE–SLIDING REGIMES IN SYSTEMS WITH DELAY Ural Mathematical Journal Impulse position control, Systems with delay, Impulse-sliding regime, The Euler polygons |
| title | IMPULSE–SLIDING REGIMES IN SYSTEMS WITH DELAY |
| title_full | IMPULSE–SLIDING REGIMES IN SYSTEMS WITH DELAY |
| title_fullStr | IMPULSE–SLIDING REGIMES IN SYSTEMS WITH DELAY |
| title_full_unstemmed | IMPULSE–SLIDING REGIMES IN SYSTEMS WITH DELAY |
| title_short | IMPULSE–SLIDING REGIMES IN SYSTEMS WITH DELAY |
| title_sort | impulse sliding regimes in systems with delay |
| topic | Impulse position control, Systems with delay, Impulse-sliding regime, The Euler polygons |
| url | https://umjuran.ru/index.php/umj/article/view/58 |
| work_keys_str_mv | AT alexandernsesekin impulseslidingregimesinsystemswithdelay AT natalyaizhelonkina impulseslidingregimesinsystemswithdelay |