Leader-following quasi-bipartite synchronization of coupled heterogeneous harmonic oscillators via event-triggered control

Sangli Shi, Zhengxin Wang, Qiang Song, Min Xiao and Guo-Ping Jiang

Applied Mathematics and Computation, 2022, vol. 427, issue C

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.

Keywords: Leader-following; Quasi-bipartite synchronization; Heterogeneous; Harmonic oscillators; Asynchronous event-triggered protocols (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:427:y:2022:i:c:s0096300322002466

DOI: 10.1016/j.amc.2022.127172

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