Avtomatika i Telemekhanika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Avtomat. i Telemekh.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Avtomatika i Telemekhanika, 2007, Issue 12, Pages 38–52 (Mi at1090)  
This article is cited in 7 scientific papers (total in 7 papers)

Deterministic Systems

Multidimensional stability domain of special polynomial families

E. N. Gryazina, B. T. Polyak

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (301 kB) Citations (7)
References:
PDF
HTML
Abstract: Consideration was given to the characteristic polynomials with special affine uncertainty. For this family, the stability domain in the parameter space was shown to be a union of polyhedra. For continuous-time and discrete-time systems, a simple method was proposed to single out the stability domain and determine the stability radius for different norms of uncertainty. Efficiency of this method was corroborated by examples.
Presented by the member of Editorial Board: L. B. Rapoport

Received: 09.11.2006
English version:
Automation and Remote Control, 2007, Volume 68, Issue 12, Pages 2128–2141
DOI: https://doi.org/10.1134/S000511790712003X
Bibliographic databases:
Document Type: Article
PACS: 02.30.Yy
Language: Russian
Citation: E. N. Gryazina, B. T. Polyak, “Multidimensional stability domain of special polynomial families”, Avtomat. i Telemekh., 2007, no. 12, 38–52; Autom. Remote Control, 68:12 (2007), 2128–2141
Citation in format AMSBIB
\Bibitem{GryPol07}
\by E.~N.~Gryazina, B.~T.~Polyak
\paper Multidimensional stability domain of special polynomial families
\jour Avtomat. i Telemekh.
\yr 2007
\issue 12
\pages 38--52
\mathnet{http://mi.mathnet.ru/at1090}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2406133}
\zmath{https://zbmath.org/?q=an:1146.93373}
\transl
\jour Autom. Remote Control
\yr 2007
\vol 68
\issue 12
\pages 2128--2141
\crossref{https://doi.org/10.1134/S000511790712003X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-38349127913}
Linking options:
  • https://www.mathnet.ru/eng/at1090
  • https://www.mathnet.ru/eng/at/y2007/i12/p38
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Avtomatika i Telemekhanika
    Statistics & downloads:
    Abstract page:394
    Full-text PDF :156
    References:66
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024