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Abstract :
[en] A method is proposed to characterize contraction
of a set through orthogonal projections. For discrete-time
multi-agent systems, quantitative estimates of convergence (to
a consensus) rate are provided by means of contracting convex
sets. Required convexity for the sets that should include the
values that the transition maps of agents take is considered in
a more general sense than that of Euclidean geometry.
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