Linearization of hypergraph reaction-diffusion systems retains only exposure statistics, while packing effects control post-onset amplitudes, yielding a structural visibility hierarchy and dynamical graph surrogacy.
Consensus problems in networks of agents with switching topology and time-delays.IEEE Transactions on Automatic Control, 49(9):1520–1533, 2004
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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.
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Structural Visibility in Dynamical Systems on Hypergraphs: A Pattern Formation Perspective
Linearization of hypergraph reaction-diffusion systems retains only exposure statistics, while packing effects control post-onset amplitudes, yielding a structural visibility hierarchy and dynamical graph surrogacy.
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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.