IMPULSE–SLIDING REGIMES IN SYSTEMS WITH DELAY

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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Main Authors: Alexander N. Sesekin, Natalya I. Zhelonkina
Format: Article
Language:English
Published: Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin. 2016-11-01
Series:Ural Mathematical Journal
Subjects:
Impulse position control, Systems with delay, Impulse-sliding regime, The Euler polygons
Online Access:https://umjuran.ru/index.php/umj/article/view/58
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spelling doaj-a86b867a40184d6d8ff201ef50f38e312020-11-24T20:57:42ZengKrasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin. Ural 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
collection DOAJ
language English
format Article
sources DOAJ
author Alexander N. Sesekin
Natalya I. Zhelonkina
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
author_facet Alexander N. Sesekin
Natalya I. Zhelonkina
author_sort Alexander N. Sesekin
title IMPULSE–SLIDING REGIMES IN SYSTEMS WITH DELAY
title_short 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_sort impulse–sliding regimes in systems with delay
publisher Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin.
series Ural Mathematical Journal
issn 2414-3952
publishDate 2016-11-01
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.
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
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