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Sufficient Conditions on Bipartite Consensus of Weakly Connected Matrix-weighted Networks
The positive/negative definite matrices are strong in the multi-agent protocol in dictating the agents' final states as opposed to the semidefinite matrices.
Characterizing Bipartite Consensus on Signed Matrix-Weighted Networks via Balancing Set
We show that necessary and/or sufficient conditions for bipartite consensus on matrix-weighted networks can be characterized by the uniqueness of the non-trivial balancing set, while the contribution of the associated non-trivial intersection of null spaces to the steady-state of the matrix-weighted network is examined.
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