Synchronization of oscillators not sharing a common ground

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TUNA S. E.

Automatica, cilt.151, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 151
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1016/j.automatica.2023.110960
  • Dergi Adı: Automatica
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, PASCAL, Applied Science & Technology Source, Aqualine, Communication Abstracts, Computer & Applied Sciences, Information Science and Technology Abstracts, INSPEC, Library, Information Science & Technology Abstracts (LISTA), MathSciNet, zbMATH, DIALNET
  • Anahtar Kelimeler: Synchronization, Effective Laplacian matrix, Harmonic oscillator, Bilayer coupling, Nonstar network, COUPLED HARMONIC-OSCILLATORS, NETWORKS, SYSTEMS
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

Networks of coupled LC oscillators that do not share a common ground node are studied. Both resistive coupling and inductive coupling are considered. For networks under resistive coupling, it is shown that the oscillator-coupler interconnection has to be bilayer if the oscillator voltages are to asymptotically synchronize. Also, for bilayer architecture (when both resistive and inductive couplers are present) a method is proposed to compute a complex-valued effective Laplacian matrix that represents the overall coupling. It is proved that the oscillators display synchronous behavior if and only if the effective Laplacian has a single eigenvalue on the imaginary axis.