Harmonic synchronization under all three types of coupling: Position, velocity, and acceleration
نویسندگان
چکیده
Synchronization of identical harmonic oscillators interconnected via position, velocity, and acceleration couplings is studied. How to construct a complex Laplacian matrix representing the overall coupling presented. It shown that asymptotically synchronize if only this has single eigenvalue on imaginary axis. This result generalizes some known spectral tests for synchronization. Some simpler constructions are also proved work provided certain structural conditions satisfied by graphs.
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ژورنال
عنوان ژورنال: Automatica
سال: 2021
ISSN: ['1873-2836', '0005-1098']
DOI: https://doi.org/10.1016/j.automatica.2021.109727