Synchronization of oscillators not sharing a common ground
Automatica, cilt.151, 2023 (SCI-Expanded, Scopus)
- 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
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- 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.