H2 Performance of Series-Parallel Networks: A Compositional Perspective

• 成果类型: Article
• 署名作者: Hudoba de Badyn, Mathias; Mesbahi, Mehran
• 署名单位: University of Washington; University of Washington Seattle; Swiss Federal Institutes of Technology Domain; ETH Zurich
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2020.2979758
• 发表日期: 2021
• 页码: 354-361
• 关键词: Consensus protocol; H-2 perfomance; network adaptation; network decomposition

摘要

We examine the 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 H-2 norm can be performed efficiently by decomposing the network into atomic elements and composition rules. Finally, we examine the problem of efficiently adapting the matrix-valued edge weights to optimize the H-2 norm of the network.