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Avtomatika i Telemekhanika, 2018, Issue 8, Pages 3–26 (Mi at14846)  
This article is cited in 6 scientific papers (total in 6 papers)

Linear Systems

Frequency-domain stability conditions for discrete-time switched systems

V. A. Kamenetskiy

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (698 kB) Citations (6)
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Abstract: We consider discrete-time switched systems with switching of linear time-invariant right-hand parts. The notion of a connected discrete switched system is introduced. For systems with the connectedness property, we propose necessary and sufficient frequency-domain conditions for the existence of a common quadratic Lyapunov function that provides the stability for a system under arbitrary switching. The set of connected switched systems contains discrete control systems with several time-varying nonlinearities from the finite sectors, considered in the theory of absolute stability. We consider the case of switching between three linear subsystems in more details and give an illustrative example.
Keywords: discrete-time switched systems, stability, Lyapunov functions, matrix inequalities.
Funding agency Grant number
Russian Academy of Sciences - Federal Agency for Scientific Organizations I.31
This work was supported by the Program of the Presidium of the RAS “Modern Problems of Robotics”, project no. I.31.
Presented by the member of Editorial Board: L. B. Rapoport

Received: 31.07.2017
English version:
Automation and Remote Control, 2018, Volume 79, Issue 8, Pages 1371–1389
DOI: https://doi.org/10.1134/S0005117918080015
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. A. Kamenetskiy, “Frequency-domain stability conditions for discrete-time switched systems”, Avtomat. i Telemekh., 2018, no. 8, 3–26; Autom. Remote Control, 79:8 (2018), 1371–1389
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Full-text PDF :29
    References:33
    First page:26
     
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