Harmonic synchronization under all three types of coupling: Position, velocity, and acceleration


TUNA S. E.

Automatica, cilt.130, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 130
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1016/j.automatica.2021.109727
  • 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, Laplacian matrix, Harmonic oscillator, Acceleration coupling, OSCILLATORS, NETWORK
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

© 2021 Elsevier LtdSynchronization of identical harmonic oscillators interconnected via position, velocity, and acceleration couplings is studied. How to construct a complex Laplacian matrix representing the overall coupling is presented. It is shown that the oscillators asymptotically synchronize if and only if this matrix has a single eigenvalue on the imaginary axis. This result generalizes some of the known spectral tests for synchronization. Some simpler Laplacian constructions are also proved to work provided that certain structural conditions are satisfied by the coupling graphs.