The paper defines subspace consensus for matrix-weighted networks and derives necessary and sufficient conditions based on the null spaces of edge weights and graph topology.
Bipartite consensus on matrix-valued weighted networks.IEEE Transactions on Circuits and Systems II: Express Briefs, 66(8):1441– 1445, 2019
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Subspace Consensus of Matrix-Weighted Networks
The paper defines subspace consensus for matrix-weighted networks and derives necessary and sufficient conditions based on the null spaces of edge weights and graph topology.