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Avtomatika i Telemekhanika, 2007, Issue 8, Pages 68–77 (Mi at1032)  
This article is cited in 1 scientific paper (total in 1 paper)

On the existence of periodic motion and the maximum sector bounds for absolute stability of nonlinear nonstationary systems

K. Wulffa, R. Shortenb

a Fachgebiet Regelungstechnik, TU Berlin, Germany
b Hamilton Institute, NUI Maynooth, Ireland
Full-text PDF (257 kB) Citations (1)
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Abstract: In this contribution we consider the absolute stability problem. We derive necessary and sufficient conditions for the existence of periodic motion using an operator approach. The results yield an efficient algorithm to approximate the maximum sector bounds for absolute stability numerically.
Presented by the member of Editorial Board: L. B. Rapoport

Received: 15.02.2007
English version:
Automation and Remote Control, 2007, Volume 68, Issue 8, Pages 1355–1363
DOI: https://doi.org/10.1134/S0005117907080073
Bibliographic databases:
Document Type: Article
PACS: 02.30.Yy
Language: Russian
Citation: K. Wulff, R. Shorten, “On the existence of periodic motion and the maximum sector bounds for absolute stability of nonlinear nonstationary systems”, Avtomat. i Telemekh., 2007, no. 8, 68–77; Autom. Remote Control, 68:8 (2007), 1355–1363
Citation in format AMSBIB
\Bibitem{WulSho07}
\by K.~Wulff, R.~Shorten
\paper On the existence of periodic motion and the maximum sector bounds for absolute stability of nonlinear nonstationary systems
\jour Avtomat. i Telemekh.
\yr 2007
\issue 8
\pages 68--77
\mathnet{http://mi.mathnet.ru/at1032}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2354234}
\zmath{https://zbmath.org/?q=an:1141.93055}
\transl
\jour Autom. Remote Control
\yr 2007
\vol 68
\issue 8
\pages 1355--1363
\crossref{https://doi.org/10.1134/S0005117907080073}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34548415511}
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  • https://www.mathnet.ru/eng/at/y2007/i8/p68
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Full-text PDF :69
    References:36
    First page:1
     
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