Bipartite Consensus Problem of Harmonic Oscillators Based on Sampled-data

This paper is concerned with the bipartite consensus problem of sampled-data coupled harmonic oscillators by predictor factor under the fixed topology. Compared with the existing distributed protocol for synchronization in networks of coupled harmonic oscillators based on the sampled-data measurement, we propose a distributed bipartite consensus control protocol in which positive and negative interaction weights coexist. For structurally balanced networks, we improve the convergence rate of the network via predictor factor. Necessary and sufficient conditions are obtained for the well designed protocol to achieve bipartite consensus by using frequency-domain analysis and matrix theory. Finally, examples are shown to validate the convergence conditions.