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Convergence of Type-Symmetric and Cut-Balanced Consensus Seeking Systems

Convergence of Type-Symmetric and Cut-Balanced Consensus Seeking Systems

We consider continuous-time consensus seeking systems whose time-dependent interactions are cut-balanced, in the following sense: if a group of agents influences the remaining ones, the former group is also influenced by the remaining ones by at least a proportional amount. Models involving symmetric interconnections and models in which a weighted …