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Avtomatika i Telemekhanika, 2012, Issue 11, Pages 6–29 (Mi at4069)  

This article is cited in 34 scientific papers (total in 34 papers)

Topical issue

Approximate consensus in the dynamic stochastic network with incomplete information and measurement delays

N. O. Amelinaa, A. L. Fradkovab

a St. Petersburg State University, St. Petersburg, Russia
b Institute of Problems of Mechanical Engineering, St. Petersburg, Russia
References:
Abstract: Consideration was given to the problem of achieving an approximate consensus in the decentralized stochastic dynamic network under incomplete information about the current states of the nodes, measurement delay, and variable structure of links. Solution was based on the protocol of local voting with nonvanishing steps. It was proposed to analyze dynamics of the closed network with the use of the method of averaged models which was extended to the systems with measurement delays. This method enables one to establish good analytical estimates of the permissible length of the step providing the desired accuracy of consensus and appreciably reduce the computational burden of simulation. The results obtained were applied to the analysis of the dynamics of the system of balancing the computer network loading.
Presented by the member of Editorial Board: B. T. Polyak

Received: 19.01.2012
English version:
Automation and Remote Control, 2012, Volume 73, Issue 11, Pages 1765–1783
DOI: https://doi.org/10.1134/S000511791211001X
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: N. O. Amelina, A. L. Fradkov, “Approximate consensus in the dynamic stochastic network with incomplete information and measurement delays”, Avtomat. i Telemekh., 2012, no. 11, 6–29; Autom. Remote Control, 73:11 (2012), 1765–1783
Citation in format AMSBIB
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\by N.~O.~Amelina, A.~L.~Fradkov
\paper Approximate consensus in the dynamic stochastic network with incomplete information and measurement delays
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\yr 2012
\issue 11
\pages 6--29
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\transl
\jour Autom. Remote Control
\yr 2012
\vol 73
\issue 11
\pages 1765--1783
\crossref{https://doi.org/10.1134/S000511791211001X}
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Linking options:
  • https://www.mathnet.ru/eng/at4069
  • https://www.mathnet.ru/eng/at/y2012/i11/p6
  • This publication is cited in the following 34 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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