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On the Stability of a Switched Affine System for a Class of Switching Signals
- Authors: Fursov A.S1,2,3, Krylov P.A2
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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 4 (2023)
- Pages: 554-562
- Section: Articles
- URL: https://manmiljournal.ru/0374-0641/article/view/649389
- DOI: https://doi.org/10.31857/S0374064123040118
- EDN: https://elibrary.ru/ANVLXF
- ID: 649389
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Abstract
We study the problem of stability of the zero equilibrium of a switched affine system closed by a linear static state feedback. The concept of feasible control for a given set of switching signals is introduced, and a constructive condition for checking this property for an arbitrary linear feedback is obtained. A sufficient condition for the stability of the zero equilibrium of a switched affine system closed by a feasible control is formulated.
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
Ханчжоу, Китай;Москва, Россия
P. A Krylov
Lomonosov Moscow State University, Moscow, 119991, Russia
Author for correspondence.
Email: pavel@leftsystem.ru
Москва, Россия
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