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Design of Optimal Sparse Interconnection Graphs for Synchronization of Oscillator Networks

Design of Optimal Sparse Interconnection Graphs for Synchronization of Oscillator Networks

We study the optimal design of a conductance network as a means for synchronizing a given set of oscillators. Synchronization is achieved when all oscillator voltages reach consensus, and performance is quantified by the mean-square deviation from the consensus value. We formulate optimization problems that address the trade-off between synchronization …