CUED Publications database

Phase synchronization through entrainment by a consensus input

Wieland, P and Schmidt, GS and Sepulchre, R and Allgöwer, F (2010) Phase synchronization through entrainment by a consensus input. Proceedings of the IEEE Conference on Decision and Control. pp. 534-539. ISSN 0191-2216

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Abstract

The paper proposes a synchronization mechanism in a set of nonlinear oscillators interconnected through a communication network. In contrast to many existing results, we do not employ strong, diffusive couplings between the individual oscillators. Instead, each individual oscillator is weakly forced by a linear resonator system. The resonator systems are synchronized using results from consensus theory. The synchronized resonator systems force the frequencies of the nonlinear oscillators to a constant frequency and thereby yield synchronization of the oscillators. We prove this result using the theory of small forcings of stable oscillators. This synchronization scheme allows for synchronization of nonlinear oscillators over uniformly connected communication graphs. ©2010 IEEE.

Item Type: Article
Subjects: UNSPECIFIED
Divisions: Div F > Control
Depositing User: Cron Job
Date Deposited: 07 Mar 2014 11:46
Last Modified: 08 Dec 2014 02:18
DOI: 10.1109/CDC.2010.5717783