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Synchronization in Oscillator Networks: Switching Topologies and Non-homogeneous Delays

Papachristodoulou, Antonis and Jadbabaie, Ali (2005) Synchronization in Oscillator Networks: Switching Topologies and Non-homogeneous Delays. In: 2005 44th IEEE Conference on Decision and Control & European Control Conference. IEEE Conference on Decision and Control . IEEE , Piscataway, NJ, pp. 5692-5697. ISBN 0-7803-9567-0 http://resolver.caltech.edu/CaltechAUTHORS:20110816-095603646

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Abstract

We investigate the problem of synchronization in oscillator networks when the delay inherent in such systems is taken into account. We first investigate a general Kuramototype model with heterogeneous time delays, both with a complete network as well as a nearest neighbor interaction, for which we propose conditions for synchronization around a rotating frequency. Then, we turn our attention to the problem of synchronization when the topologies are allowed to change. We show that synchronization is possible in the presence of delay, using a common Lyapunov functional argument.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1109/CDC.2005.1583070 DOIUNSPECIFIED
http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=1583070PublisherUNSPECIFIED
Additional Information:© 2005 IEEE. Issue Date: 12-15 Dec. 2005. Date of Current Version: 30 January 2006. A. Papachristodoulou’s work financially supported by AFOSR MURI, NIH/NIGMS AfCS (Alliance for Cellular Signalling), DARPA, the Kitano ERATO Systems Biology Project, and URI “Protecting Infrastructures from Themselves”. A. Jadbabaie’s work has been supported by ARO/MURI DAAD19-02-1-0383, ONR/YIP-542371 and NSF-ECS-0347285.
Funders:
Funding AgencyGrant Number
Air Force Office of Scientific Research (AFOSR) Multidisciplinary University Research Initiative (MURI)UNSPECIFIED
NIH/NIGMS AfCS (Alliance for Cellular Signalling)UNSPECIFIED
Defense Advanced Research Projects Agency (DARPA)UNSPECIFIED
ERATO Systems Biology ProjectUNSPECIFIED
URIUNSPECIFIED
Air Force Office of Scientific Research (AFOSR) Multidisciplinary University Research Initiative (MURI)DAAD19-02-1-0383
Office of Naval Research (ONR)YIP-542371
NSFECS-0347285
Record Number:CaltechAUTHORS:20110816-095603646
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20110816-095603646
Official Citation:Papachristodoulou, A.; Jadbabaie, A.; , "Synchronization in Oscillator Networks: Switching Topologies and Non-homogeneous Delays," Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on , vol., no., pp. 5692- 5697, 12-15 Dec. 2005 doi: 10.1109/CDC.2005.1583070 URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1583070&isnumber=33412
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:24879
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:18 Aug 2011 15:21
Last Modified:18 Aug 2011 15:21

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