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ON THE EXPANSION OF THE STATE SPACE PARTITIONS SET FOR A STABLE SWITCHED AFFINE SYSTEM
- Authors: Fursov A.S1,2,3, Krylov P.A2
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Affiliations:
- Department of Mathematics, School of Science
- Lomonosov Moscow State University
- Kharkevich Institute for Information Transmission Problems of RAS
- Issue: Vol 60, No 11 (2024)
- Pages: 1541-1552
- Section: CONTROL THEORY
- URL: https://rjmseer.com/0374-0641/article/view/649589
- DOI: https://doi.org/10.31857/S0374064124110095
- EDN: https://elibrary.ru/JDRZGZ
- ID: 649589
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Abstract
For a switched affine system closed by stabilizing static feedback, a method is presented for constructing a parametric family of partitions of the state space, relative to which this closed system remains stable.
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About the authors
A. S Fursov
Department of Mathematics, School of Science; Lomonosov Moscow State University; Kharkevich Institute for Information Transmission Problems of RAS
Email: fursov@cs.msu.ru
Ханчжоу, Китай; Москва
P. A Krylov
Lomonosov Moscow State University
Email: pavel@leftsystem.ru
Москва
References
- Fursov, A.S. and Krylov, P.A., On the stability of a switched affine system for a class of switching signals, Differ. Equat., 2023, vol. 59, no. 4, pp. 563–571.
- Fursov, A.S. and Krylov, P.A., On the construction of the graph of discrete states of s switched affine system, Differ. Equat., 2023, vol. 59, no. 11, pp. 1547–1556.
- Krein, M. On extreme points of regular convex sets / M. Krein, D. Milman // Studia Mathematica. — 1940. — № 9. — P. 133-138.
- Chernikov, S.N., Lineinye neravenstva (Linear Inequalities), Moscow: Nauka, 1968.
- Filippov, A.F. Differentsial’nye uravneniya s razryvnoi pravoi chast’yu (Differential Equations with a Discontinuous Right Side), Moscow: Nauka, 1985.
- Il’in, V.A. and Kim, G.D., Lineinaya algebra i analiticheskaya geometriya (Linear Algebra and Analytic Geometry), Moscow: MSU Press, 2002.
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