Synchronization of impulsive coupled harmonic oscillators based on sampled position data

摘要

This paper considers the synchronization problem for instantaneous coupled harmonic oscillators over undirected communication networks. It is assumed that each oscillator can only obtain the measurements of positions relative to its neighbors at sampling instants. An effective synchronization protocol based on the sampled position data is proposed. The theoretical results show that the networked oscillators can achieve synchronization movements under some very mild network connections. Finally, the numerical simulations show the effectiveness and correctness of the proposed protocols.