Synchronization of Coupled Nonlinear Dynamical Systems: Interplay Between Times of Connectivity and Integral of Lipschitz Gain
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) PublishedText
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.
Multiagent systems, nonlinear dynamical systems, synchronization, time-varying interaction
Electrical Engineering, Electronic Engineering, Information Engineering
IdentifiersURN: urn:nbn:se:kth:diva-185614DOI: 10.1109/TCSII.2015.2504011ISI: 000373137300015ScopusID: 2-s2.0-84964523344OAI: oai:DiVA.org:kth-185614DiVA: diva2:924523
FunderKnut and Alice Wallenberg FoundationSwedish Research Council
QC 201604282016-04-282016-04-252016-04-28Bibliographically approved