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. doi:10.1109/TCNS.2015.2428371. https://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 | ||||||||||||
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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. | ||||||||||||
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Subject Keywords: | Coupled oscillators, distributed control, nonlinear control, synchronization | ||||||||||||
Issue or Number: | 1 | ||||||||||||
DOI: | 10.1109/TCNS.2015.2428371 | ||||||||||||
Record Number: | CaltechAUTHORS:20160425-150515381 | ||||||||||||
Persistent URL: | https://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: | 10 Nov 2021 23:58 |
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