论文标题
$ \ MATHCAL {H} _2 $串联 - 平行网络的性能：构图观点
$\mathcal{H}_2$ performance of series-parallel networks: A compositional perspective
论文作者
论文摘要
我们检查了$ \ Mathcal {H} _2 $在串联 - 平行网络上的矩阵加权领导者 - 追随者共识的规范。通过在矩阵值，电压和电流上使用电网理论的扩展，我们表明可以通过将网络分解为原子元素和组成规则来有效地执行$ \ Mathcal {H} _2 $ NORM的计算。最后，我们检查了有效调整矩阵值的边缘权重以优化网络的$ \ MATHCAL {H} _2 $ NORM的问题。
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.
