Bipartite consensus in coupled harmonic oscillators with local instantaneous interaction and measurement noise
Abstract This paper investigates the issue of bipartite consensus for coupled harmonic oscillators under the cooperation‐competition network topology while considering measurement noise. The concept of bipartite consensus in mean square is established for networked harmonic oscillator systems. In th...
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| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-09-01
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| Series: | IET Circuits, Devices and Systems |
| Online Access: | https://doi.org/10.1049/cds2.12118 |
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| _version_ | 1850173272744787968 |
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| author | Zhaoyan Wang Hengyu Li Jun Liu Tiehui Zhang Xinru Ma Shaorong Xie Jun Luo |
| author_facet | Zhaoyan Wang Hengyu Li Jun Liu Tiehui Zhang Xinru Ma Shaorong Xie Jun Luo |
| author_sort | Zhaoyan Wang |
| collection | DOAJ |
| description | Abstract This paper investigates the issue of bipartite consensus for coupled harmonic oscillators under the cooperation‐competition network topology while considering measurement noise. The concept of bipartite consensus in mean square is established for networked harmonic oscillator systems. In this sense, two consensus algorithms that only use sampled velocity data on the agents in a network are given. Based on the specific structure of the Laplacian matrix related to the cooperation‐competition network topology, some sufficient conditions are given to ensure the realisation of the bipartite consensus of the coupled harmonic oscillators. Finally, three examples are provided to illustrate the corresponding theoretical results. |
| format | Article |
| id | doaj-art-cd2ab91cdea24fac841955b9eca068d3 |
| institution | OA Journals |
| issn | 1751-858X 1751-8598 |
| language | English |
| publishDate | 2022-09-01 |
| publisher | Wiley |
| record_format | Article |
| series | IET Circuits, Devices and Systems |
| spelling | doaj-art-cd2ab91cdea24fac841955b9eca068d32025-08-20T02:19:53ZengWileyIET Circuits, Devices and Systems1751-858X1751-85982022-09-0116647148210.1049/cds2.12118Bipartite consensus in coupled harmonic oscillators with local instantaneous interaction and measurement noiseZhaoyan Wang0Hengyu Li1Jun Liu2Tiehui Zhang3Xinru Ma4Shaorong Xie5Jun Luo6School of Mathematics and Computer Application Technology Jining University Qufu Shandong ChinaSchool of Mechatronic Engineering and Automation Shanghai University Shanghai ChinaSchool of Mathematics and Computer Application Technology Jining University Qufu Shandong ChinaSchool of Mechatronic Engineering and Automation Shanghai University Shanghai ChinaSchool of Mechatronic Engineering and Automation Shanghai University Shanghai ChinaSchool of Mechatronic Engineering and Automation Shanghai University Shanghai ChinaSchool of Mechatronic Engineering and Automation Shanghai University Shanghai ChinaAbstract This paper investigates the issue of bipartite consensus for coupled harmonic oscillators under the cooperation‐competition network topology while considering measurement noise. The concept of bipartite consensus in mean square is established for networked harmonic oscillator systems. In this sense, two consensus algorithms that only use sampled velocity data on the agents in a network are given. Based on the specific structure of the Laplacian matrix related to the cooperation‐competition network topology, some sufficient conditions are given to ensure the realisation of the bipartite consensus of the coupled harmonic oscillators. Finally, three examples are provided to illustrate the corresponding theoretical results.https://doi.org/10.1049/cds2.12118 |
| spellingShingle | Zhaoyan Wang Hengyu Li Jun Liu Tiehui Zhang Xinru Ma Shaorong Xie Jun Luo Bipartite consensus in coupled harmonic oscillators with local instantaneous interaction and measurement noise IET Circuits, Devices and Systems |
| title | Bipartite consensus in coupled harmonic oscillators with local instantaneous interaction and measurement noise |
| title_full | Bipartite consensus in coupled harmonic oscillators with local instantaneous interaction and measurement noise |
| title_fullStr | Bipartite consensus in coupled harmonic oscillators with local instantaneous interaction and measurement noise |
| title_full_unstemmed | Bipartite consensus in coupled harmonic oscillators with local instantaneous interaction and measurement noise |
| title_short | Bipartite consensus in coupled harmonic oscillators with local instantaneous interaction and measurement noise |
| title_sort | bipartite consensus in coupled harmonic oscillators with local instantaneous interaction and measurement noise |
| url | https://doi.org/10.1049/cds2.12118 |
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