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On the Variation of the Nonlinearity Parameter in the “Super-Twisting” Algorithm
- Authors: Fomichev V.V.1,2,3, Vysotskiy A.O.2
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Affiliations:
- Department of Mathematics, School of Science, Hangzhou Dianzi University, Hangzhou, Zhejiang, 310005, China
- Lomonosov Moscow State University, Moscow, 119991, Russia
- Federal Research Center “Computer Science and Control,” Russian Academy of Sciences, Moscow, 119333, Russia
- Issue: Vol 59, No 11 (2023)
- Pages: 1571-1574
- Section: Articles
- URL: https://rjmseer.com/0374-0641/article/view/649458
- DOI: https://doi.org/10.31857/S0374064123110134
- EDN: https://elibrary.ru/PFBOCN
- ID: 649458
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Abstract
We study the stability of a modified (with variation in the nonlinearity parameter) “super-twisting” algorithm. The analysis is based on majorizing the trajectories of the system with an arbitrary nonlinearity parameter by the trajectories of systems of the classical “super-twisting” algorithm. Stability conditions for the modified systems are obtained, as well as estimates for the size of the stability domain depending on system parameters
About the authors
V. V. Fomichev
Department of Mathematics, School of Science, Hangzhou Dianzi University, Hangzhou, Zhejiang, 310005, China; Lomonosov Moscow State University, Moscow, 119991, Russia; Federal Research Center “Computer Science and Control,” Russian Academy of Sciences, Moscow, 119333, Russia
Email: fomichev@cs.msu.ru
Ханчжоу, Китай;Москва, Россия
A. O. Vysotskiy
Lomonosov Moscow State University, Moscow, 119991, Russia
Author for correspondence.
Email: vysotskiial@gmail.com
Москва, Россия
References
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