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Avtomatika i Telemekhanika, 2011, Issue 1, Pages 42–65 (Mi at1267)  
This article is cited in 22 scientific papers (total in 22 papers)

Deterministic Systems

Stability investigation for linear periodic time-delayed systems using Fredholm theory

B. P. Lampea, E. N. Rosenwasserb

a University of Rostock, Rostock, Germany
b State University of Ocean Technology, St. Petersburg, Russia
Full-text PDF (293 kB) Citations (22)
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Abstract: A single-loop linear periodic system with time delay is considered. Using the mathematical tool of integral Fredholm equations of the second kind, a characteristic function is constructed, the roots of which are inverses of the multipliers of the system. Rigorous sufficient stability conditions are given, which are based on approximate representation of the characteristic function in the form of a polynomial.
Presented by the member of Editorial Board: V. L. Kharitonov

Received: 27.03.2009
English version:
Automation and Remote Control, 2011, Volume 72, Issue 1, Pages 38–60
DOI: https://doi.org/10.1134/S0005117911010048
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: B. P. Lampe, E. N. Rosenwasser, “Stability investigation for linear periodic time-delayed systems using Fredholm theory”, Avtomat. i Telemekh., 2011, no. 1, 42–65; Autom. Remote Control, 72:1 (2011), 38–60
Citation in format AMSBIB
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    • This publication is cited in the following 22 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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