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, 2018, Issue 11, Pages 32–46
DOI: https://doi.org/10.31857/S000523100002775-6 (Mi at15041) 		 
This article is cited in 18 scientific papers (total in 18 papers)

Linear Systems

Upper bounds on peaks in discrete-time linear systems

V. N. Ahiyevicha, S. E. Parsegovbc, P. S. Shcherbakovbd

a Moscow Institute of Physics and Technology, Dolgoprudnyi, Russia
b Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
c Skolkovo Institute of Science and Technology, Moscow region, Russia
d Institute for Systems Analysis, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (725 kB) Citations (18)
References:
PDF
HTML
DOI: https://doi.org/10.31857/S000523100002775-6
Abstract: Trajectories of stable linear systems with nonzero initial conditions are known to deviate considerably from the zero equilibrium point at finite time instances. In the paper we analyze transients in discrete-time linear systems and provide upper bounds on deviations (peaks) via use of linear matrix inequalities. An approach to peak-minimizing feedback design is also proposed. An analysis of peak effects for norms of powers of Schur stable matrices is presented and a robust version of the problem is considered. The theory is illustrated by numerical examples.
Keywords: linear discrete-time systems, stability, nonzero initial conditions, transient behavior, upper bounds, linear matrix inequalities, robustness.
Funding agency Grant number
Russian Science Foundation 16-11-10015
This work was supporting by the Russian Science Foundation, project no. 16-11-10015.
Presented by the member of Editorial Board: A. L. Fradkov

Received: 19.04.2018
English version:
Automation and Remote Control, 2018, Volume 79, Issue 11, Pages 1976–1988
DOI: https://doi.org/10.1134/S0005117918110036
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. N. Ahiyevich, S. E. Parsegov, P. S. Shcherbakov, “Upper bounds on peaks in discrete-time linear systems”, Avtomat. i Telemekh., 2018, no. 11, 32–46; Autom. Remote Control, 79:11 (2018), 1976–1988
Citation in format AMSBIB
\Bibitem{AgiParShc18}
\by V.~N.~Ahiyevich, S.~E.~Parsegov, P.~S.~Shcherbakov
\paper Upper bounds on peaks in discrete-time linear systems
\jour Avtomat. i Telemekh.
\yr 2018
\issue 11
\pages 32--46
\mathnet{http://mi.mathnet.ru/at15041}
\crossref{https://doi.org/10.31857/S000523100002775-6}
\elib{https://elibrary.ru/item.asp?id=36486551}
\transl
\jour Autom. Remote Control
\yr 2018
\vol 79
\issue 11
\pages 1976--1988
\crossref{https://doi.org/10.1134/S0005117918110036}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000450516900003}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85056772689}
Linking options:
  • https://www.mathnet.ru/eng/at15041
  • https://www.mathnet.ru/eng/at/y2018/i11/p32
    • This publication is cited in the following 18 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:216
    Full-text PDF :46
    References:19
    First page:6
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024