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Avtomatika i Telemekhanika, 2004, Issue 11, Pages 25–39 (Mi at1657)  
This article is cited in 43 scientific papers (total in 43 papers)

Deterministic Systems

Stability of the trinomial linear difference equations with two delays

M. M. Kipnis, R. M. Nigmatulin

Chelyabinsk State Pedagogical University
Full-text PDF (260 kB) Citations (43)
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Abstract: For the zero solution of the difference equation $x(n)=ax(n-m)+bx(n-k)$ with arbitrary delays $k,m$, the formulas of the stability domain boundaries were derived. For different $k$ and $m$, the stability domains were compared in the quadrants of the plane $(a,b)$.
Presented by the member of Editorial Board: B. T. Polyak

Received: 30.12.2002
English version:
Automation and Remote Control, 2004, Volume 65, Issue 11, Pages 1710–1723
DOI: https://doi.org/10.1023/B:AURC.0000047886.46498.79
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. M. Kipnis, R. M. Nigmatulin, “Stability of the trinomial linear difference equations with two delays”, Avtomat. i Telemekh., 2004, no. 11, 25–39; Autom. Remote Control, 65:11 (2004), 1710–1723
Citation in format AMSBIB
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    • This publication is cited in the following 43 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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