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Synchronization of sampled-data coupled harmonic oscillators with control inputs missing. (English) Zbl 1256.93064
Summary: 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 problems 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.

MSC:
93C57 Sampled-data control/observation systems
93B40 Computational methods in systems theory (MSC2010)
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