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Avtomatika i Telemekhanika, 2015, Issue 9, Pages 44–63 (Mi at14281)  
This article is cited in 4 scientific papers (total in 4 papers)

Nonlinear Systems

Consensus in nonlinear stationary networks with identical agents

A. V. Proskurnikovabc

a Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, St. Petersburg, Russia
b St. Petersburg State University, St. Petersburg, Russia
c St. Petersburg State National Research University of Information Technologies, Mechanics and Optics, St. Petersburg, Russia
Full-text PDF (300 kB) Citations (4)
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Abstract: For the multiagent networks with arbitrary-order identical agents and nonlinear uncertain couplings, satisfying the sector inequalities consideration was given to the problem of reaching consensus (asymptotic synchronization) The network topology was assumed to be time-invariant. A frequency-domain consensus criterion extending the Popov criterion for the absolute stability of Lurie systems with one scalar-valued nonlinearity was proposed.
Presented by the member of Editorial Board: P. S. Shcherbakov

Received: 29.12.2013
English version:
Automation and Remote Control, 2015, Volume 76, Issue 9, Pages 1551–1565
DOI: https://doi.org/10.1134/S0005117915090039
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. V. Proskurnikov, “Consensus in nonlinear stationary networks with identical agents”, Avtomat. i Telemekh., 2015, no. 9, 44–63; Autom. Remote Control, 76:9 (2015), 1551–1565
Citation in format AMSBIB
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\paper Consensus in nonlinear stationary networks with identical agents
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\vol 76
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Linking options:
  • https://www.mathnet.ru/eng/at14281
  • https://www.mathnet.ru/eng/at/y2015/i9/p44
    • This publication is cited in the following 4 articles:
    1. A. G. Chkhartishvili, “The problem of finding the median preference of individuals in a stochastic model”, Autom. Remote Control, 82:5 (2021), 853–862  mathnet  crossref  crossref  isi  elib
    2. A. V. Proskurnikov, A. S. Matveev, “Tsypkin and Jury–Lee criteria for synchronization and stability of discrete-time multiagent systems”, Autom. Remote Control, 79:6 (2018), 1057–1073  mathnet  crossref  isi  elib
    3. A. V. Proskurnikov, S. E. Parsegov, “Problem of uniform deployment on a line segment for second-order agents”, Autom. Remote Control, 77:7 (2016), 1248–1258  mathnet  crossref  isi  elib  elib
    4. A. V. Proskurnikov, A. L. Fradkov, “Problems and methods of network control”, Autom. Remote Control, 77:10 (2016), 1711–1740  mathnet  crossref  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    References:51
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