On the stability of the Kuramoto model of coupled nonlinear oscillators
File(s)
Accepted version
Author(s)
Jadbabaie, A
Motee, N
Barahona, M
Type
Conference Paper
Abstract
We provide an analysis of the classic Kuramoto model of coupled nonlinear oscillators that goes beyond the existing results for all-to-all networks of identical oscillators. Our work is applicable to oscillator networks of arbitrary interconnection topology with uncertain natural frequencies. Using tools from spectral graph theory and control theory, we prove that for couplings above a critical value all the oscillators synchronize, resulting in convergence of all phase differences to a constant value, both in the case of identical natural frequencies as well as uncertain ones. We also provide a series of bounds for the critical values of the coupling strength.
Date Issued
2004-01-01
Citation
PROCEEDINGS OF THE 2004 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 5, pp.{4296-4301}-{4296-4301}
ISBN
0-7803-8335-4
ISSN
0743-1619
Publisher
IEEE
Start Page
{4296-4301}
End Page
{4296-4301}
Journal / Book Title
PROCEEDINGS OF THE 2004 AMERICAN CONTROL CONFERENCE, VOLS 1-6
Volume
5
Copyright Statement
© 2004 AACC. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=000224688300727&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Source
American Control Conference
Start Date
2004-06-30
Finish Date
2004-07-02
Coverage Spatial
Boston, MA