Distributed Synchronization of Heterogeneous Oscillators on Networks With Arbitrary Topology
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.
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.Attached Files
Submitted - 1405.6467v1.pdf
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Additional details
- Eprint ID
- 66463
- DOI
- 10.1109/TCNS.2015.2428371
- Resolver ID
- CaltechAUTHORS:20160425-150515381
- N00014-12-1-1055
- Office of Naval Research (ONR)
- Created
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2016-05-02Created from EPrint's datestamp field
- Updated
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2021-11-10Created from EPrint's last_modified field