Synchronization of sampled-data coupled harmonic oscillators with control inputs missing

This paper is concerned with the synchronization problem of sampled-data coupled harmonic oscillators with control inputs missing. A distributed algorithm for synchronization in undirected networks of coupled harmonic oscillators is proposed based on the sampled-data measurement with controller failures. Some generic criteria for such algorithm over, respectively, undirected fixed and switching network topologies are derived analytically. Compared with some existing works, a distinctive feature of this work is to solve synchronization problem in undirected networks even if each oscillator intermittently exchanges the velocity information with its neighbors in terms of sampled-data setting only at discrete moments. Subsequently, numerical examples illustrate and visualize the effectiveness and feasibility of the theoretical results.