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arXiv · 2003.05396

$\mathcal{H}_2$ performance of series-parallel networks: A compositional perspective

Mathias Hudoba de Badyn·Mehran Mesbahi
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Abstract

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

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Mathias Hudoba de Badyn, Mehran Mesbahi. 2020-03-11. $\mathcal{H}_2$ performance of series-parallel networks: A compositional perspective. https://doi.org/10.1109/tac.2020.2979758

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