Published December 2005
| public
Book Section - Chapter
Synchronization in Oscillator Networks: Switching Topologies and Non-homogeneous Delays
- Creators
- Papachristodoulou, Antonis
-
Jadbabaie, Ali
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.
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.Additional details
- Eprint ID
- 24879
- DOI
- 10.1109/CDC.2005.1583070
- Resolver ID
- CaltechAUTHORS:20110816-095603646
- Air Force Office of Scientific Research (AFOSR) Multidisciplinary University Research Initiative (MURI)
- NIH/NIGMS AfCS (Alliance for Cellular Signalling)
- Defense Advanced Research Projects Agency (DARPA)
- ERATO Systems Biology Project
- URI
- DAAD19-02-1-0383
- Air Force Office of Scientific Research (AFOSR) Multidisciplinary University Research Initiative (MURI)
- YIP-542371
- Office of Naval Research (ONR)
- ECS-0347285
- NSF
- Created
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2011-08-18Created from EPrint's datestamp field
- Updated
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2021-11-09Created from EPrint's last_modified field
- Series Name
- IEEE Conference on Decision and Control