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

## 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 |
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Subjects: | UNSPECIFIED |

Divisions: | Div F > Control |

Depositing User: | Cron Job |

Date Deposited: | 15 Dec 2015 13:33 |

Last Modified: | 30 Apr 2016 04:36 |

DOI: | 10.1109/CDC.2010.5717783 |