Consensus seeking in diffusive multidimensional networks with a repeated interaction pattern and time-delays

Hoang Huy Vu, Quyen Ngoc Nguyen, Tuynh Van Pham, Chuong Van Nguyen, Minh Hoang Trinh
2/24/2024
eess.SYcs.MA

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Abstract

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.

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Cite this paper

@article{vu2024consensus,
  title  = {Consensus seeking in diffusive multidimensional networks with a repeated interaction pattern and time-delays},
  author = {Hoang Huy Vu and Quyen Ngoc Nguyen and Tuynh Van Pham and Chuong Van Nguyen and Minh Hoang Trinh},
  year   = {2024},
  eprint = {2402.15677},
  archivePrefix = {arXiv},
  url    = {http://arxiv.org/abs/2402.15677v2}
}

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