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This brief targets the pacemaker-based global synchronization of a Kuramoto-oscillator network via distributed control, where “global” means that there is no constraint on the initial phases. A pacemaker-based distributed controller, that contains information from not only its neighbors but also the pacemaker, is proposed to achieve global synchronization. Both bounded and frequency synchronization have been considered with sufficient criteria established. A state-monitoring control scheme is also proposed, where oscillators with arbitrary initial phases will be driven into a pre-given region in need of the distributed controller, and then synchronization is achieved via the physical coupling and the influence of the pacemaker only.
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Rao et al. (2017) studied this question.
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