Abstract
This paper investigates the leader-following quasi-bipartite synchronization problem of coupled heterogeneous harmonic oscillators under an undirected communication topology. To save limited resources and alleviate communication burden, two asynchronous event-triggered protocols are proposed. Some sufficient criteria are derived to ensure quasi-bipartite synchronization by utilizing differential equation theory, inequality theory and Lyapunov stability method. Meanwhile, it is shown that there is no Zeno behavior for the proposed event-triggered protocols. Furthermore, an upper bound of quasi-bipartite synchronization errors is explicitly provided. Finally, numerical examples are given to illustrate the effectiveness of the theoretical results.
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