ON THE EXPANSION OF THE STATE SPACE PARTITIONS SET FOR A STABLE SWITCHED AFFINE SYSTEM

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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.

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

  1. 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.
  2. 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.
  3. Krein, M. On extreme points of regular convex sets / M. Krein, D. Milman // Studia Mathematica. — 1940. — № 9. — P. 133-138.
  4. Chernikov, S.N., Lineinye neravenstva (Linear Inequalities), Moscow: Nauka, 1968.
  5. Filippov, A.F. Differentsial’nye uravneniya s razryvnoi pravoi chast’yu (Differential Equations with a Discontinuous Right Side), Moscow: Nauka, 1985.
  6. 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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