Distributed Synchronization of Heterogeneous Oscillators on Networks with Arbitrary Topology

Enrique Mallada, Randy A. Freeman, Ao Kevin Tang

Research output: Contribution to journalArticlepeer-review

25 Scopus citations


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 boldsymbol{n}-torus.

Original languageEnglish (US)
Article number7100877
Pages (from-to)12-23
Number of pages12
JournalIEEE Transactions on Control of Network Systems
Issue number1
StatePublished - Mar 2016


  • Synchronization
  • coupled oscillators
  • distributed control
  • nonlinear control

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Signal Processing
  • Computer Networks and Communications
  • Control and Optimization


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