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, 2011, Issue 9, Pages 49–60 (Mi at2273)  
This article is cited in 22 scientific papers (total in 22 papers)

Topical issue

On polyhedral estimates for reachable sets of discrete-time systems with bilinear uncertainty

E. K. Kostousova

Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, Yekaterinburg, Russia
Full-text PDF (1803 kB) Citations (22)
References:
PDF
HTML
Abstract: We describe techniques for constructing external and internal polyhedral (parallelepiped-valued) estimates for reachability sets of discrete-time systems with bilinear uncertainty, i.e., systems with originally linear but incompletely specified dynamics, when system coefficients exhibit uncertainty of the interval type. Our primary attention is focused on internal estimates. The evolution of reachability set estimates is given by recursive relations. We give numerical modeling results.
Presented by the member of Editorial Board: L. B. Rapoport

Received: 12.04.2011
English version:
Automation and Remote Control, 2011, Volume 72, Issue 9, Pages 1841–1851
DOI: https://doi.org/10.1134/S0005117911090062
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: E. K. Kostousova, “On polyhedral estimates for reachable sets of discrete-time systems with bilinear uncertainty”, Avtomat. i Telemekh., 2011, no. 9, 49–60; Autom. Remote Control, 72:9 (2011), 1841–1851
Citation in format AMSBIB
\Bibitem{Kos11}
\by E.~K.~Kostousova
\paper On polyhedral estimates for reachable sets of discrete-time systems with bilinear uncertainty
\jour Avtomat. i Telemekh.
\yr 2011
\issue 9
\pages 49--60
\mathnet{http://mi.mathnet.ru/at2273}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2896152}
\zmath{https://zbmath.org/?q=an:1230.93005}
\transl
\jour Autom. Remote Control
\yr 2011
\vol 72
\issue 9
\pages 1841--1851
\crossref{https://doi.org/10.1134/S0005117911090062}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000297404400005}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80155176196}
Linking options:
  • https://www.mathnet.ru/eng/at2273
  • https://www.mathnet.ru/eng/at/y2011/i9/p49
    • 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
    		Avtomatika i Telemekhanika
    Statistics & downloads:
    Abstract page:312
    Full-text PDF :71
    References:55
    First page:9
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024