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Synchronization of Coupled Nonlinear Dynamical Systems: Interplay Between Times of Connectivity and Integral of Lipschitz Gain
KTH, School of Electrical Engineering (EES), Automatic Control. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.
KTH, School of Electrical Engineering (EES), Automatic Control. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.ORCID iD: 0000-0001-9940-5929
2016 (English)In: IEEE Transactions on Circuits and Systems - II - Express Briefs, ISSN 1549-7747, E-ISSN 1558-3791, Vol. 63, no 4, 391-395 p.Article in journal (Refereed) Published
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Abstract [en]

This brief considers the synchronization problem of coupled nonlinear dynamical systems over time-varying interaction graphs. We first show that infinite joint connectivity is necessary for achieving globally asymptotic synchronization. We then show that the commonly used Lipschitz condition on the nonlinear self-dynamics is not sufficient to ensure synchronization even for an arbitrarily large coupling strength. A sufficient synchronization condition is established in terms of the times of connectivity, the integral of the Lipschitz gain, and the network parameters.

Place, publisher, year, edition, pages
IEEE , 2016. Vol. 63, no 4, 391-395 p.
Keyword [en]
Multiagent systems, nonlinear dynamical systems, synchronization, time-varying interaction
National Category
Electrical Engineering, Electronic Engineering, Information Engineering
Identifiers
URN: urn:nbn:se:kth:diva-185614DOI: 10.1109/TCSII.2015.2504011ISI: 000373137300015Scopus ID: 2-s2.0-84964523344OAI: oai:DiVA.org:kth-185614DiVA: diva2:924523
Funder
Knut and Alice Wallenberg FoundationSwedish Research Council
Note

QC 20160428

Available from: 2016-04-28 Created: 2016-04-25 Last updated: 2016-04-28Bibliographically approved

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