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Avtomatika i Telemekhanika, 2024, Issue 7, Pages 3–14
DOI: https://doi.org/10.31857/S0005231024070014 (Mi at16293) 		 
Linear Systems

A frequency-domain criterion for the quadratic stability of discrete-time systems with switching between three linear subsystems

V.A.Kamenetskiy

V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Moscow
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DOI: https://doi.org/10.31857/S0005231024070014
Abstract: Connected systems with switching between three linear discrete-time subsystems are considered, and a new frequency-domain criterion for the existence of a quadratic Lyapunov function ensuring the stability of such systems under arbitrary switching is proposed. The application of this criterion is demonstrated on an example of a third-order system.
Keywords: discrete-time switched systems, stability, Lyapunov functions, matrix inequalities.
Presented by the member of Editorial Board: P. V. Pakshin

Received: 14.03.2024
Revised: 21.05.2024
Accepted: 30.05.2024
English version:
Automation and Remote Control, 2024, Volume 85, Issue 7, Pages 575–583
DOI: https://doi.org/10.1134/S0005117924700012
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V.A.Kamenetskiy, “A frequency-domain criterion for the quadratic stability of discrete-time systems with switching between three linear subsystems”, Avtomat. i Telemekh., 2024, no. 7, 3–14; Autom. Remote Control, 85:7 (2024), 575–583
Citation in format AMSBIB
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\by V.A.Kamenetskiy
\paper A frequency-domain criterion for the quadratic stability of discrete-time systems with switching between three linear subsystems
\jour Avtomat. i Telemekh.
\yr 2024
\issue 7
\pages 3--14
\mathnet{http://mi.mathnet.ru/at16293}
\crossref{https://doi.org/10.31857/S0005231024070014}
\edn{https://elibrary.ru/XSEHQE}
\transl
\jour Autom. Remote Control
\yr 2024
\vol 85
\issue 7
\pages 575--583
\crossref{https://doi.org/10.1134/S0005117924700012}
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