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, 2010, Issue 6, Pages 39–50 (Mi at828)  
This article is cited in 37 scientific papers (total in 37 papers)

Deterministic Systems

On properties of gramians of continuous control systems

I. B. Yadykin

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (215 kB) Citations (37)
References:
PDF
HTML
Abstract: A new approach to the study of controllability and observabihty by means of analysis of the controhabihty and observabihty matrices and gramians was proposed. It rehes on the lemma of expansion of the matrix integrals proved by expanding the resolvents of the matrices $A_m$, and $A$ and the properties of convolution of the matrix function in the complex domain. Analysis of the structural properties of gramians demonstrated that the coefficients of the characteristic equations and the Faddeev matrices in the decomposition of the resolvent of the system dynamics matrix play the leading part in their formation. An example illustrating the properties of gramians was given.
Presented by the member of Editorial Board: A. P. Kurdyukov

Received: 15.12.2009
English version:
Automation and Remote Control, 2010, Volume 71, Issue 6, Pages 1011–1021
DOI: https://doi.org/10.1134/S0005117910060032
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: I. B. Yadykin, “On properties of gramians of continuous control systems”, Avtomat. i Telemekh., 2010, no. 6, 39–50; Autom. Remote Control, 71:6 (2010), 1011–1021
Citation in format AMSBIB
\Bibitem{Yad10}
\by I.~B.~Yadykin
\paper On properties of gramians of continuous control systems
\jour Avtomat. i Telemekh.
\yr 2010
\issue 6
\pages 39--50
\mathnet{http://mi.mathnet.ru/at828}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2724779}
\zmath{https://zbmath.org/?q=an:1218.93023}
\transl
\jour Autom. Remote Control
\yr 2010
\vol 71
\issue 6
\pages 1011--1021
\crossref{https://doi.org/10.1134/S0005117910060032}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000279297200003}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77955138345}
Linking options:
  • https://www.mathnet.ru/eng/at828
  • https://www.mathnet.ru/eng/at/y2010/i6/p39
    • This publication is cited in the following 37 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:370
    Full-text PDF :201
    References:53
    First page:6
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024