Bipartite Consensus Control for Coupled Harmonic Oscillators Under a Coopetitive Network Topology
By extending the definition of bipartite consensus to coupled harmonic oscillators, in this paper, we investigate the problem of the bipartite consensus control of coupled harmonic oscillators in directed network topology in which positive and negative interaction weights coexist, and a distributed...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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IEEE
2018-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/8249794/ |
| _version_ | 1818853809081810944 |
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| author | Jun Liu Hengyu Li Jun Luo |
| author_facet | Jun Liu Hengyu Li Jun Luo |
| author_sort | Jun Liu |
| collection | DOAJ |
| description | By extending the definition of bipartite consensus to coupled harmonic oscillators, in this paper, we investigate the problem of the bipartite consensus control of coupled harmonic oscillators in directed network topology in which positive and negative interaction weights coexist, and a distributed bipartite consensus control protocol is proposed. Based on the specific structure of the coopetitive network topology, criteria that guarantee the achievement of bipartite consensus for coupled harmonic oscillators are presented. Furthermore, the final convergent states of the oscillators are also given in terms of the initial values of the agents and a specific eigenvector of the Laplacian matrix corresponding to the coopetitive network topology. Finally, simulations are presented to validate the theoretical analysis. |
| first_indexed | 2024-12-19T07:42:43Z |
| format | Article |
| id | doaj.art-6432ecd158c64a2bb036f5b44a24751f |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-19T07:42:43Z |
| publishDate | 2018-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-6432ecd158c64a2bb036f5b44a24751f2022-12-21T20:30:25ZengIEEEIEEE Access2169-35362018-01-0163706371410.1109/ACCESS.2018.27909708249794Bipartite Consensus Control for Coupled Harmonic Oscillators Under a Coopetitive Network TopologyJun Liu0Hengyu Li1https://orcid.org/0000-0002-2243-5908Jun Luo2Department of Mathematics, Jining University, Qufu, ChinaSchool of Mechatronic Engineering and Automation, Shanghai University, Shanghai, ChinaSchool of Mechatronic Engineering and Automation, Shanghai University, Shanghai, ChinaBy extending the definition of bipartite consensus to coupled harmonic oscillators, in this paper, we investigate the problem of the bipartite consensus control of coupled harmonic oscillators in directed network topology in which positive and negative interaction weights coexist, and a distributed bipartite consensus control protocol is proposed. Based on the specific structure of the coopetitive network topology, criteria that guarantee the achievement of bipartite consensus for coupled harmonic oscillators are presented. Furthermore, the final convergent states of the oscillators are also given in terms of the initial values of the agents and a specific eigenvector of the Laplacian matrix corresponding to the coopetitive network topology. Finally, simulations are presented to validate the theoretical analysis.https://ieeexplore.ieee.org/document/8249794/Coupled harmonic oscillatorsbipartite consensuscoopetitive networkscoordinated behavior |
| spellingShingle | Jun Liu Hengyu Li Jun Luo Bipartite Consensus Control for Coupled Harmonic Oscillators Under a Coopetitive Network Topology IEEE Access Coupled harmonic oscillators bipartite consensus coopetitive networks coordinated behavior |
| title | Bipartite Consensus Control for Coupled Harmonic Oscillators Under a Coopetitive Network Topology |
| title_full | Bipartite Consensus Control for Coupled Harmonic Oscillators Under a Coopetitive Network Topology |
| title_fullStr | Bipartite Consensus Control for Coupled Harmonic Oscillators Under a Coopetitive Network Topology |
| title_full_unstemmed | Bipartite Consensus Control for Coupled Harmonic Oscillators Under a Coopetitive Network Topology |
| title_short | Bipartite Consensus Control for Coupled Harmonic Oscillators Under a Coopetitive Network Topology |
| title_sort | bipartite consensus control for coupled harmonic oscillators under a coopetitive network topology |
| topic | Coupled harmonic oscillators bipartite consensus coopetitive networks coordinated behavior |
| url | https://ieeexplore.ieee.org/document/8249794/ |
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