Consensus seeking in diffusive multidimensional networks with a repeated interaction pattern and time-delays
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arXiv
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| Hauptverfasser: | , , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909663553912832 |
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| author | Vu, Hoang Huy Nguyen, Quyen Ngoc Van Pham, Tuynh Van Nguyen, Chuong Trinh, Minh Hoang |
| author_facet | Vu, Hoang Huy Nguyen, Quyen Ngoc Van Pham, Tuynh Van Nguyen, Chuong Trinh, Minh Hoang |
| contents | This paper studies a consensus problem in multidimensional networks having the same agent-to-agent interaction pattern under both intra- and cross-layer time delays. Several conditions for the agents to asymptotically reach a consensus are derived, which involve the overall network's structure, the local interacting pattern, and the assumptions specified on the time delays. The validity of these conditions is proved by direct eigenvalue evaluation and supported by numerical simulations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_15677 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Consensus seeking in diffusive multidimensional networks with a repeated interaction pattern and time-delays Vu, Hoang Huy Nguyen, Quyen Ngoc Van Pham, Tuynh Van Nguyen, Chuong Trinh, Minh Hoang Systems and Control Multiagent Systems This paper studies a consensus problem in multidimensional networks having the same agent-to-agent interaction pattern under both intra- and cross-layer time delays. Several conditions for the agents to asymptotically reach a consensus are derived, which involve the overall network's structure, the local interacting pattern, and the assumptions specified on the time delays. The validity of these conditions is proved by direct eigenvalue evaluation and supported by numerical simulations. |
| title | Consensus seeking in diffusive multidimensional networks with a repeated interaction pattern and time-delays |
| topic | Systems and Control Multiagent Systems |
| url | https://arxiv.org/abs/2402.15677 |