${\mathcal {H}_2}$ Performance of Series-Parallel Networks: A Compositional Perspective

نویسندگان

چکیده

We examine the $\mathcal{H}_2$ norm of matrix-weighted leader-follower consensus on series-parallel networks. By using an extension electrical network theory matrix-valued resistances, voltages and currents, we show that computation can be performed efficiently by decomposing into atomic elements composition rules. Lastly, problem adapting edge weights to optimize network.

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ژورنال

عنوان ژورنال: IEEE Transactions on Automatic Control

سال: 2021

ISSN: ['0018-9286', '1558-2523', '2334-3303']

DOI: https://doi.org/10.1109/tac.2020.2979758