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Avtomatika i Telemekhanika, 2020, Issue 4, Pages 79–93
DOI: https://doi.org/10.31857/S0005231020040066 (Mi at15506) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Robust, Adaptive and Network Control

Discrete-time deployment of agents on a line segment: delays and switches do not matter

A. Yu. Aleksandrovab, A. D. Semenovb, A. L. Fradkovca

a St. Petersburg State University, St. Petersburg, Russia
b ITMO University, St. Petersburg, Russia
c Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, St. Petersburg, Russia
Full-text PDF (257 kB) Citations (7)
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DOI: https://doi.org/10.31857/S0005231020040066
Abstract: This paper considers the discrete-time problem of deploying agents on a line segment under delay in communication channels and switching and also under incomplete information about the value of the delay and the law of switching. It is shown that neither delay nor switching affect the convergence of the agents' states to the uniform allocation on the line segment. The theoretical results are illustrated by numerical simulation. The evidence is based on the well-known and new approaches to the stability analysis of positive systems.
Keywords: multiagent systems, uniform allocation, positive systems, delay, switching.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 08-08
Russian Foundation for Basic Research 19-01-00146_a
This work was implemented under the State support of the leading universities of the Russian Federation, subsidy no. 08-08. This work was supported in part by the Russian Foundation for Basic Research, project no. 19-01-00146-a.
Presented by the member of Editorial Board: P. V. Pakshin

Received: 17.02.2019
Revised: 07.11.2019
Accepted: 28.11.2019
English version:
Automation and Remote Control, 2020, Volume 81, Issue 4, Pages 637–648
DOI: https://doi.org/10.1134/S0005117920040062
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. Yu. Aleksandrov, A. D. Semenov, A. L. Fradkov, “Discrete-time deployment of agents on a line segment: delays and switches do not matter”, Avtomat. i Telemekh., 2020, no. 4, 79–93; Autom. Remote Control, 81:4 (2020), 637–648
Citation in format AMSBIB
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\paper Discrete-time deployment of agents on a line segment: delays and switches do not matter
\jour Avtomat. i Telemekh.
\yr 2020
\issue 4
\pages 79--93
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\crossref{https://doi.org/10.31857/S0005231020040066}
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\transl
\jour Autom. Remote Control
\yr 2020
\vol 81
\issue 4
\pages 637--648
\crossref{https://doi.org/10.1134/S0005117920040062}
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  • https://www.mathnet.ru/eng/at/y2020/i4/p79
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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