Cluster consensus for coupled harmonic oscillators under a weighted cooperative-competitive network

Cluster consensus is investigated for multiple coupled harmonic oscillators under a weighted cooperative-competitive network. Consensus protocols for three categories of communication networks are constructed by employing a weighted gain, and sufficient conditions for guaranteeing cluster consensus...

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Bibliographic Details
Published inInternational journal of control Vol. 95; no. 12; pp. 3344 - 3352
Main Authors Ma, Cui-Qin, Liu, Tian-Ya, Zhao, Yun-Bo
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 02.12.2022
Taylor & Francis Ltd
Subjects
a weighted cooperative-competitive network
cluster consensus
Clusters
Communication networks
coupled harmonic oscillators
Harmonic oscillators
Multi-agent systems
Orbits
Topology
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Summary:Cluster consensus is investigated for multiple coupled harmonic oscillators under a weighted cooperative-competitive network. Consensus protocols for three categories of communication networks are constructed by employing a weighted gain, and sufficient conditions for guaranteeing cluster consensus are obtained. It is found that under the proposed protocols, the states of all oscillators can be guaranteed to reach periodic orbits that are the same in frequency no matter which cluster the oscillators belong to. In particular, cluster partitions here are not given a prior, but are determined by the communication topology among oscillators. Numerical examples are given to validate the effectiveness of theoretical results.
ISSN:0020-7179
1366-5820
DOI:10.1080/00207179.2021.1971770