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Higher-Order Interaction Networks (Matrix-weighted Networks)

In this thread of works, we examine:

Collective behaviors of matrix-weight networks (MWNs), where matrix-valued edge weights are employed to characterize the inter-dependency of high-dimensional states amongst neighboring agents.

We have established the following results:

  1. Cluster consensus and structural balance of MWNs
  2. Cluster consensus on time-varying MWNs
  3. Controllability of MWNs
  4. Constraint-Aware Coordination on MWNs
Collective behavior
  1. Lulu Pan, Haibin Shao*, Mehran Mesbahi, Dewei Li, Yugeng Xi. Cluster Consensus on Matrix-weighted Switching Networks. Automatica, 141:110308, 2022.
  2. Lulu Pan, Haibin Shao*, Mehran Mesbahi, Yugeng Xi and Dewei Li. Consensus on matrix-weighted switching networks. IEEE Transactions on Automatic Control, 2021, 66(12):5990-5996.
  3. Lulu Pan, Haibin Shao, Mehran Mesbahi, Yugeng Xi and Dewei Li. Bipartite consensus on matrix-valued weighted networks. IEEE Transactions on Circuits and Systems II: Express Briefs, 2018, 66(8):1441-1445.
  4. Lulu Pan, Haibin Shao, Yugeng Xi, and Dewei Li . Bipartite consensus problem on matrix- valued weighted directed networks. SCIENCE CHINA Information Sciences, 2018. Supplementary
  5. Chongzhi Wang, Lulu Pan, Haibin Shao*, Dewei Li, and Yugeng Xi. Characterizing Bipartite Consensus on Signed Matrix-Weighted Networks via Balancing Set. Automatica, 141:110237, 2022.
Controllability
  1. Lulu Pan, Haibin Shao*, Mehran Mesbahi, Yugeng Xi and Dewei Li. On the controllability of matrix-weighted networks. IEEE System Control Letter, 2020, 3(4):572-577.
Constraint-Aware Coordination
  1. Lulu Pan, Haibin Shao, Yuanlong Li, Dewei Li, and Yugeng Xi. Event-triggered Consensus of Matrix-weighted Networks Subject to Actuator Saturation. IEEE Transactions on Network Science and Engineering 10(1):463-476, 2022.
  2. Lulu Pan, Haibin Shao, Dewei Li, and Yugeng Xi. Dynamic Event-Triggered Consensus of Multi-agent Systems on Matrix-weighted Networks. arXiv preprint arXiv:2106.06198 (2021).