A. V. Proskurnikov, “Frequency-domain criteria for consensus in multiagent systems with nonlinear sector-shaped couplings”, Avtomat. i Telemekh., 2014, no. 11, 110–126; Autom. Remote Control, 75:11 (2014), 1982

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Avtomatika i Telemekhanika, 2014, Issue 11, Pages 110–126 (Mi at14145)

This article is cited in 12 scientific papers (total in 12 papers)

Robust and Adaptive Systems

Frequency-domain criteria for consensus in multiagent systems with nonlinear sector-shaped couplings

A. V. Proskurnikov^ab

^a Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, St. Petersburg, Russia
^b St. Petersburg State University, St. Petersburg, Russia

Full-text PDF (288 kB) Citations (12)

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Abstract: Consideration was given to the distributed algorithms for consensus (synchronization) in the multiagent networks with identical agents of arbitrary order and unknown nonlinear couplings satisfying the sector inequalities or their multidimensional counterparts. The network topology may be unknown and varying in time. A frequency synchronization criterion was proposed which is a generalization of the circular criterion for absolute stability of the Lur'e systems.

Presented by the member of Editorial Board: P. S. Shcherbakov

Received: 05.12.2012

English version:
Automation and Remote Control, 2014, Volume 75, Issue 11, Pages 1982–1995
DOI: https://doi.org/10.1134/S0005117914110071

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: A. V. Proskurnikov, “Frequency-domain criteria for consensus in multiagent systems with nonlinear sector-shaped couplings”, Avtomat. i Telemekh., 2014, no. 11, 110–126; Autom. Remote Control, 75:11 (2014), 1982–1995

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/at14145

https://www.mathnet.ru/eng/at/y2014/i11/p110

This publication is cited in the following 12 articles:

Sun F., Liao X., Kurths J., “Mean-Square Consensus For Heterogeneous Multi-Agent Systems With Probabilistic Time Delay”, Inf. Sci., 543 (2021), 112–124
Plotnikov S.A. Fradkov A.L., “Synchronization of Nonlinearly Coupled Networks Based on Circle Criterion”, Chaos, 31:10 (2021), 103110
O. R. Kuzichkin, G. S. Vasilyev, D. I. Surzhik, “Design an algorithm for analyzing the stability of information exchange between uavs in the high-order agent formation”, Ing. UC, 27:2 (2020), 224–232
P. Feketa, A. Schaum, T. Meurer, D. Michaelis, K. Ochs, “Synchronization of nonlinearly coupled networks of chua oscillators”, IFAC PAPERSONLINE, 52:16 (2019), 628–633
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
S. I. Tomashevich, “Control for a system of linear agents based on a high order adaptation algorithm”, Autom. Remote Control, 78:2 (2017), 276–288
A. A. Gorshkov, S. A. Plotnikov, A. L. Fradkov, “Bifurcation and synchronization analysis of neural mass model subpopulations”, IFAC-PapersOnLine, 50:1 (2017), 14741–14745
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
K. S. Amelin, B. R. Andrievsky, S. I. Tomashevich, A. L. Fradkov, “Data exchange with adaptive coding between quadrotors in a formation”, Autom. Remote Control, 80:1 (2019), 150–163
A. V. Proskurnikov, A. L. Fradkov, “Problems and methods of network control”, Autom. Remote Control, 77:10 (2016), 1711–1740
Q. Zhu, J. Wu, R. Xiong, “Stochastic consensus of a class of continuous-time multi-agent systems with a leading agent”, Int. J. Adv. Robot. Syst., 13 (2016), 59
A. V. Proskurnikov, “Consensus in nonlinear stationary networks with identical agents”, Autom. Remote Control, 76:9 (2015), 1551–1565

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Full-text PDF :	117
References:	47
First page:	15

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