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Distributed Synchronization of Heterogeneous Oscillators on Networks With Arbitrary Topology

Mallada, Enrique and Freeman, Randy A. and Tang, Ao Kevin (2016) Distributed Synchronization of Heterogeneous Oscillators on Networks With Arbitrary Topology. IEEE Transactions on Control of Network Systems, 3 (1). pp. 1-12. ISSN 2325-5870. http://resolver.caltech.edu/CaltechAUTHORS:20160425-150515381

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Abstract

Many network applications rely on the synchronization of coupled oscillators. For example, such synchronization can provide networked devices with a common temporal reference necessary for coordinating actions or decoding transmitted messages. In this paper, we study the problem of using distributed control to achieve phase and frequency synchronization of a network of coupled heterogeneous nonlinear oscillators. Not only do our controllers guarantee zero-phase error in steady state under arbitrary frequency heterogeneity, but they also require little knowledge of the oscillator nonlinearities and network topology. Furthermore, we provide a global convergence analysis, in the absence of noise and propagation delay, for the resulting nonlinear system whose phase vector evolves on the n-torus.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1109/TCNS.2015.2428371DOIArticle
http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=7100877PublisherArticle
http://arxiv.org/abs/1405.6467arXivDiscussion Paper
ORCID:
AuthorORCID
Mallada, Enrique0000-0003-1568-1833
Tang, Ao Kevin0000-0001-6296-644X
Additional Information:© 2016 IEEE. Manuscript received September 17, 2014; revised November 25, 2014; accepted February 27, 2015. Date of publication May 1, 2015; date of current version March 16, 2016. This work was supported by ONR under Grant N00014-12-1-1055.
Funders:
Funding AgencyGrant Number
Office of Naval Research (ONR)N00014-12-1-1055
Subject Keywords:Coupled oscillators, distributed control, nonlinear control, synchronization
Record Number:CaltechAUTHORS:20160425-150515381
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20160425-150515381
Official Citation:E. Mallada, R. A. Freeman and A. K. Tang, "Distributed Synchronization of Heterogeneous Oscillators on Networks With Arbitrary Topology," in IEEE Transactions on Control of Network Systems, vol. 3, no. 1, pp. 1-12, March 2016. doi: 10.1109/TCNS.2015.2428371
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:66463
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:02 May 2016 21:05
Last Modified:13 Mar 2018 21:27

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