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Avtomatika i Telemekhanika, 2019, Issue 6, Pages 3–27
DOI: https://doi.org/10.1134/S0005231019060011 (Mi at15290) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Surveys

Consensus in asynchronous multiagent systems. III. Constructive stability and stabilizability

V. S. Kozyakina, N. A. Kuznetsovbc, P. Yu. Chebotarevcd

a Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, Russia
b Kotelnikov Institute of Radioengineering and Electronics, Russian Academy of Sciences, Moscow, Russia
c Moscow Institute of Physics and Technology, Moscow, Russia
d Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (956 kB) Citations (2)
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DOI: https://doi.org/10.1134/S0005231019060011
Abstract: We describe certain classes of linear asynchronous multi-agent systems in discrete time for which the stability problem allows for a constructive solution. We also present a general analytic approach to constructing numerical characteristics similar to the generalized spectral radius in stability theory, which would provide an opportunity to analyze the stabilizability of controlled multi-agent systems. This work completes our survey “Consensus in Asynchronous Multi-Agent Systems,” whose first two parts have been published in [1, 2].
Keywords: asynchronous multi-agent systems, consensus, stability, stabilizability, Markov systems, matrix products, joint spectral radius.
Funding agency Grant number
Russian Science Foundation 19-19-00673
The work of the third author was supported by the Russian Science Foundation, project no. 19-19-00673 provided by the Trapeznikov Institute of Control Sciences of the RAS.

Received: 17.09.2018
Revised: 22.10.2018
Accepted: 08.11.2018
English version:
Automation and Remote Control, 2019, Volume 80, Issue 6, Pages 989–1015
DOI: https://doi.org/10.1134/S0005117919060018
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. S. Kozyakin, N. A. Kuznetsov, P. Yu. Chebotarev, “Consensus in asynchronous multiagent systems. III. Constructive stability and stabilizability”, Avtomat. i Telemekh., 2019, no. 6, 3–27; Autom. Remote Control, 80:6 (2019), 989–1015
Citation in format AMSBIB
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\jour Avtomat. i Telemekh.
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\transl
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    Citing articles in Google Scholar: Russian citations, English citations
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