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Synchronization under matrix-weighted Laplacian (1408.1588v2)

Published 7 Aug 2014 in math.DS

Abstract: Synchronization in a group of linear time-invariant systems is studied where the coupling between each pair of systems is characterized by a different output matrix. Simple methods are proposed to generate a (separate) linear coupling gain for each pair of systems, which ensures that all the solutions converge to a common trajectory. Both continuous-time and discrete-time cases are considered.

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