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On the Construction of the Graph of Discrete States of a Switched Affine System
- Authors: Fursov A.S.1,2,3, Krylov P.A.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
- Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, 127051, Russia
- Issue: Vol 59, No 11 (2023)
- Pages: 1541-1549
- Section: Articles
- URL: https://journals.rcsi.science/0374-0641/article/view/233726
- DOI: https://doi.org/10.31857/S0374064123110092
- EDN: https://elibrary.ru/PDPMJG
- ID: 233726
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Abstract
The problem of constructing the graph of states of a switched affine system closed by a static state feedback is considered. To solve this problem, a constructive algorithm based on the study of the consistency of systems of linear algebraic inequalities is proposed.
About the authors
A. S. Fursov
Department of Mathematics, School of Science, Hangzhou Dianzi University, Hangzhou, Zhejiang, 310005, China; Lomonosov Moscow State University, Moscow, 119991, Russia; Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, 127051, Russia
Email: fursov@cs.msu.ru
P. A. Krylov
Lomonosov Moscow State University, Moscow, 119991, Russia
Author for correspondence.
Email: pavel@leftsystem.ru
References
- Фурсов А.С., Крылов П.А. Об устойчивости переключаемой аффинной системы для некоторого класса переключающих сигналов // Дифференц. уравнения. 2023. Т. 59. № 4. С. 554-562.
- Черников С.Н. Линейные неравенства. М., 1968.
- Филиппов А.Ф. Дифференциальные уравнения с разрывной правой частью. М., 1985.
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