2018/09/17 by Matin Jafarian, Jafarian, Matin, Xinlei Yi +7
Computer Science · #FOS: Electrical engineering #Nonlinear Dynamics and Pattern Formation #Systems and Control (eess.SY) #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.1809.06331
openalex publication_date 2018/09/17 · openalex created_date 2022/08/03 · openalex updated_date 2026/07/28
This paper studies the synchronization of a finite number of Kuramoto\noscillators in a frequency-dependent bidirectional tree network. We assume that\nthe coupling strength of each link in each direction is equal to the product of\na common coefficient and the exogenous frequency of its corresponding head\noscillator. We derive a sufficient condition for the common coupling strength\nin order to guarantee frequency synchronization in tree networks. Moreover, we\ndiscuss the dependency of the obtained bound on both the graph structure and\nthe way that exogenous frequencies are distributed. Further, we present an\napplication of the obtained result by means of an event-triggered algorithm for\nachieving frequency synchronization in a star network assuming that the common\ncoupling coefficient is given.\n