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- W4295332012 abstract "We study a graph-theoretic approach to the $mathcal{H}_{infty}$ performance of leader following consensus dynamics on directed and undirected graphs. We first provide graph-theoretic bounds on the system $mathcal{H}_{infty}$ norm of the leader following dynamics and show the tightness of the proposed bounds. Then, we discuss the relation between the system $mathcal{H}_{infty}$ norm for directed and undirected networks for specific classes of graphs, i.e., balanced digraphs and directed trees. Moreover, we investigate the effects of adding directed edges to a directed tree on the resulting system $mathcal{H}_{infty}$ norm. In the end, we apply these theoretical results to a reference velocity tracking problem in a platoon of connected vehicles and discuss the effect of the location of the leading vehicle on the overall $mathcal{H}_{infty}$ performance of the system." @default.
- W4295332012 created "2022-09-13" @default.
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- W4295332012 date "2018-04-27" @default.
- W4295332012 modified "2023-10-14" @default.
- W4295332012 title "A Graph-Theoretic Approach to the $mathcal{H}_{infty}$ Performance of Dynamical Systems on Directed and Undirected Networks" @default.
- W4295332012 doi "https://doi.org/10.48550/arxiv.1804.10483" @default.
- W4295332012 hasPublicationYear "2018" @default.
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