$\mathcal{H}_2$ performance of series-parallel networks: A compositional perspective
Optimization and Control
2020-12-25 v3
Abstract
We examine the 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 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 norm of the network.
Keywords
Cite
@article{arxiv.2003.05396,
title = {$\mathcal{H}_2$ performance of series-parallel networks: A compositional perspective},
author = {Mathias Hudoba de Badyn and Mehran Mesbahi},
journal= {arXiv preprint arXiv:2003.05396},
year = {2020}
}
Comments
Provisionally accepted to the IEEE Transactions on Automatic Control. arXiv admin note: substantial text overlap with arXiv:1903.05325